Questions and Answers
What is the quotient identity of trigonometry?
What is the square identity of trigonometry?
What is the value of sin(180˚ - θ) in terms of θ?
What is the value of cos(180˚ - θ) in terms of θ?
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What is the value of tan(180˚ - θ) in terms of θ?
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What is the value of sin(180˚ + θ) in terms of θ?
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What is the value of cos(180˚ + θ) in terms of θ?
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What is the value of tan(180˚ + θ) in terms of θ?
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What is the condition for two lines to be parallel?
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What is the relationship between the gradients of two perpendicular lines?
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What is the relationship between the gradient of a line and its inclination?
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What is the inclination of a vertical line?
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What is the first step in finding the equation of a perpendicular line?
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What is the equation form used when the gradient and the y-intercept are known?
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What is the quotient identity for tangent in terms of sine and cosine?
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What is the condition for two lines to be parallel?
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What is the equation of the straight line that passes through two points (x_1, y_1) and (x_2, y_2)?
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What is the square identity, also known as the Pythagorean identity?
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What is the trigonometric relationship for acute angles?
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Which form of the straight line equation is used when the gradient and one point on the line are known?
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What is a useful tip for proving trigonometric identities?
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What is the equation form used to find the equation of a parallel line?
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What is the condition for a line to be perpendicular to another line?
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What is the value of y when x = 0 in the gradient-intercept form of the straight line equation y = mx + c?
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What is the inclination of a horizontal line?
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What is the definition of the constant c in the gradient-intercept form of the straight line equation y = mx + c?
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What is the purpose of trigonometric identities?
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What is the formula to derive the gradient-point form of the straight line equation from the two-point form?
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What is the equation of a line in point-slope form?
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What is the formula to find the inclination of a line with a negative gradient?
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What is the measurement of the steepness of a line?
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Which form of the straight line equation is also known as the standard form?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the importance of identifying the gradient of the given line in finding the equation of a parallel line?
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What is the formula to derive the gradient-intercept form of the straight line equation from the gradient-point form?
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What are the three forms of the straight line equation mentioned in the content?
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What is the value of sin(180° + θ) in terms of sin(θ)?
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What is the value of cos(360° - θ) in terms of cos(θ)?
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What is the value of tan(-θ) in terms of tan(θ)?
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What is the value of sin(90° + θ) in terms of cos(θ)?
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What is the value of cos(90° - θ) in terms of sin(θ)?
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If points P and P' are symmetrical about the origin, what are the coordinates of P' if P is (x, y)?
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If points P and P' are symmetrical about the x-axis, what are the coordinates of P' if P is (x, y)?
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What is the value of sin(360° + θ) in terms of sin(θ)?
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What is the value of cos(180° + θ) in terms of cos(θ)?
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What is the value of tan(90° - θ) in terms of tan(θ)?
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What is the formula for the area of a triangle?
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What is the formula to calculate the volume of a rectangular prism?
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What is the formula for the surface area of a sphere?
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What is the formula for the volume of a rectangular prism?
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What is the surface area of a sphere with radius r?
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What is the formula for the area of a circle?
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What is the period of the function y = cos(kθ)?
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What happens to the volume of a prism if all its dimensions are multiplied by a constant factor k?
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What is the effect of scaling on the volume of a shape?
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What is the formula to calculate the volume of a right cone?
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What is the effect of k > 1 on the period of the function y = cos(kθ)?
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What is the range of the function y = cos(kθ)?
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What is the definition of a chord in a circle?
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What is the formula to calculate the surface area of a triangular pyramid?
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What is the theorem that states that the angle at the center of a circle is twice the angle at the circumference?
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What is the volume of a cylinder with radius r and height h?
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What is the y-intercept of the function y = cos(kθ)?
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What happens to the surface area of a prism if one of its dimensions is multiplied by a constant factor k?
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What is the effect of p > 0 on the graph of the function y = cos(θ + p)?
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What is the definition of a segment in a circle?
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What is the period of the function y = tan(θ)?
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What is the formula for the surface area of a square pyramid?
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What is the formula to calculate the volume of a triangular pyramid?
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What is the formula to calculate the surface area of a right cone?
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What is the effect of a > 1 on the graph of the function y = a*tan(θ) + q?
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What is the formula for the volume of a right cone?
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What is the volume of a sphere with radius r?
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What is the effect of k > 1 on the period of the function y = tan(kθ)?
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What is the domain of the function y = tan(kθ)?
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What is the effect of p > 0 on the graph of the function y = tan(θ + p)?
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What is the angle at the center of a circle subtended by a chord?
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What is the effect of a positive value of q on the graph of y = a sin(θ) + q?
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What is the period of y = sin(kθ)?
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What is the effect of a negative value of k on the graph of y = sin(kθ)?
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What is the amplitude of y = a sin(θ)?
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What is the domain of y = sin(θ)?
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What is the range of y = sin(θ)?
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What is the effect of a positive value of p on the graph of y = sin(θ + p)?
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What is the y-intercept of y = cos(θ)?
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What is the maximum turning point of y = cos(θ)?
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What is the purpose of reduction formulae and co-function rules in trigonometry?
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What is the first step in solving trigonometric equations?
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What is the formula for the area of a triangle?
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What is the formula for the circumference of a circle?
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What is the purpose of the CAST diagram in trigonometry?
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What is the formula for the area of a trapezium?
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What is the general solution to a trigonometric equation?
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What is a right prism?
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What is the purpose of unfolding a prism into a net?
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What is the formula for the area of a square?
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What is the form of the straight line equation used when two points on the line are known?
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What is the definition of the constant c in the gradient-intercept form of the straight line equation y = mx + c?
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What is the purpose of rearranging the equation y - y1 = m(x - x1) to make y the subject of the formula?
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What is the advantage of using the gradient-point form of the straight line equation?
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What is the relationship between the gradient m and the y-intercept c in the gradient-intercept form of the straight line equation y = mx + c?
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Why is the gradient-intercept form of the straight line equation y = mx + c also known as the standard form?
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What is the advantage of using the two-point form of the straight line equation?
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What is the formula to derive the gradient-point form of the straight line equation from the two-point form?
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What is the purpose of trigonometric identities?
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If $P(x, y)$ and $P'$ are symmetrical about the y-axis, what are the coordinates of $P'$?
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What is the relationship between the gradient and inclination of a line?
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What is the value of $\sin (360^\circ - heta)$ in terms of $ heta$?
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What is the inclination of a line with a gradient of -0.5?
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What is the relationship between the gradients of two perpendicular lines?
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What is the equation form used to find the equation of a line that is parallel to a given line and passes through a specific point?
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What is the value of $ an (180^\circ + heta)$ in terms of $ heta$?
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What is the condition for two lines to be parallel?
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What is the condition for two lines to be perpendicular?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the value of $\cos (90^\circ - heta)$ in terms of $ heta$?
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What is the inclination of a vertical line?
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What is the value of $ an ( heta)$ in terms of $\sin heta$ and $\cos heta$?
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What is the equation form used when the gradient and the y-intercept are known?
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What is the trigonometric relationship for obtuse angles?
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What is the measurement of the steepness of a line?
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What is the relationship between the gradients of two perpendicular lines?
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Which form of the straight line equation is also known as the standard form?
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What is the purpose of trigonometric identities?
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What is the first step in finding the equation of a perpendicular line?
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What is the condition for two lines to be parallel?
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What is the trigonometric identity derived from the Pythagorean theorem?
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What is the equation form used when the gradient and one point on the line are known?
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What is the quotient identity of tangent in terms of sine and cosine?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the formula to find the equation of a perpendicular line that passes through a specific point?
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What is the measurement of the steepness of a line?
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If points P and P' are symmetrical about the line y = x, what are the coordinates of P' if P is (x, y)?
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What is the value of sin(360° - θ) in terms of sin(θ)?
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What is the value of cos(90° + θ) in terms of θ?
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What is the value of tan(180° + θ) in terms of θ?
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What is the value of sin(-θ) in terms of θ?
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What is the value of cos(360° + θ) in terms of θ?
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If points P and P' are symmetrical about the origin, what are the coordinates of P' if P is (x, y)?
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What is the value of tan(90° - θ) in terms of θ?
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What is the value of sin(180° - θ) in terms of θ?
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What is the value of cos(90° - θ) in terms of θ?
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What is the first step in solving a trigonometric equation?
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What is the formula for the area of a trapezium?
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What is the general solution for a trigonometric equation when no interval is given?
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What is the formula for the surface area of a rectangular prism?
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What is the formula for the area of a circle?
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What is the purpose of using the CAST diagram when solving trigonometric equations?
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What is the formula for the circumference of a circle?
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What is the definition of a right prism?
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What is the formula for the area of a triangle?
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What is the purpose of unfolding a prism or cylinder into a net?
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What is the effect of q on the graph of y = a sin θ + q?
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What is the period of the function y = sin kθ?
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What is the effect of a on the graph of y = a sin θ?
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What is the maximum turning point of the function y = sin θ?
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What is the range of the function y = sin θ?
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What is the effect of p on the graph of y = sin(θ + p)?
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What is the x-intercept of the function y = cos θ?
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What is the amplitude of the function y = a cos θ?
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What is the formula for the volume of a cylinder?
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What is the period of the function y = cos θ?
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What is the minimum turning point of the function y = cos θ?
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What is the formula for the surface area of a right cone?
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What is the formula for the volume of a triangular prism?
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What happens to the surface area and volume of a rectangular prism when one of its dimensions is multiplied by a constant factor k?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a triangular pyramid?
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What is the formula for the volume of a right pyramid?
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What is the formula for the surface area of a square pyramid?
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What happens to the volume of a rectangular prism when all its dimensions are multiplied by a constant factor k?
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What is the formula for the surface area of a cylinder?
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What is the period of the function y = cos(kθ)?
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What is the effect of k on the period of the function y = cos(kθ) when k > 1?
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What is the y-intercept of the function y = cos(kθ)?
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What is the formula for the area of a square?
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What is the effect of p on the graph of the function y = tan(θ + p)?
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What is the formula for the surface area of a right prism?
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What is the range of the function y = tan(kθ)?
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What is the formula for the volume of a triangular prism?
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What is the period of the function y = tan(kθ)?
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What is the effect of a on the shape of the function y = a tan(θ) + q?
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What happens to the surface area of a sphere when its radius is tripled?
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What is the formula for the volume of a right cone?
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What is the domain of the function y = tan(kθ)?
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What is the formula for the area of a trapezium?
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What is the effect of q on the graph of the function y = a tan(θ) + q?
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What is the x-intercept of the function y = tan(kθ)?
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What is the theorem that states that a tangent to a circle is perpendicular to the radius drawn to the point of contact?
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What is the angle at the center of a circle when an arc subtends an angle of 30 at the circumference?
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What is the definition of a segment in circle geometry?
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What is the formula for the surface area of a right cylinder?
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What is the formula for the equation of a straight line in the two-point form?
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What is the value of y when x = 0 in the gradient-intercept form of the straight line equation y = mx + c?
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What is the formula for the gradient-point form of the straight line equation?
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What is the definition of the constant c in the gradient-intercept form of the straight line equation y = mx + c?
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Which form of the straight line equation is used when the gradient and the y-intercept are known?
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What is the formula to derive the gradient-intercept form of the straight line equation from the gradient-point form?
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What are the three forms of the straight line equation mentioned in the content?
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What is the purpose of deriving the different forms of the straight line equation?
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What is the relationship between the gradient of a line and its inclination?
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What is the inclination of a line with a gradient of -2?
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What is the equation form used when the gradient and one point on the line are known?
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What is the condition for two lines to be parallel?
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What is the purpose of the point-slope form of the equation of a line?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the trigonometric relationship for obtuse angles?
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What is the equation of a line that is parallel to the line y = 2x + 3 and passes through the point (1, 4)?
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What is the inclination of a line with a gradient of 3/4?
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What is the importance of identifying the gradient of the given line in finding the equation of a parallel line?
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What is the condition for the quotient identity of trigonometry to be defined?
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What is the expression for sin^2(θ) + cos^2(θ) in terms of x and y?
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What is the value of tan(θ) in terms of x and y?
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What is the relationship between the coordinates of P and P' if they are symmetrical about the y-axis?
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What is the value of sin(180° - θ) in terms of sin(θ) and cos(θ)?
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What is the value of cos(180° + θ) in terms of cos(θ)?
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What is the purpose of reduction formulae in trigonometry?
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What is the relationship between the coordinates of P and P' if they are symmetrical about the origin?
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What is the condition for two lines to be perpendicular?
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What is the first step in determining the equation of a perpendicular line?
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What is the purpose of trigonometric identities?
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What form of the straight line equation is used when the gradient and one point on the line are known?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the definition of the constant c in the gradient-intercept form of the straight line equation?
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What is the formula for the tangent function in terms of sine and cosine?
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What is the square identity, also known as the Pythagorean identity?
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What is a useful tip for proving trigonometric identities?
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What is the equation of a line in point-slope form?
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What is the value of sin(180° - θ) in terms of θ?
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If points P and P' are symmetrical about the y-axis, what are the coordinates of P' if P is (x, y)?
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What is the value of cos(90° + θ) in terms of θ?
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What is the value of tan(360° + θ) in terms of θ?
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If points P and P' are symmetrical about the line y = x, what are the coordinates of P' if P is (x, y)?
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What is the value of sin(360° - θ) in terms of θ?
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What is the value of cos(90° - θ) in terms of θ?
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What is the value of tan(180° - θ) in terms of θ?
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What is the value of sin(90° - θ) in terms of θ?
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What is the value of cos(360° + θ) in terms of θ?
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What is the first step in solving a trigonometric equation?
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What is the formula for the area of a triangle?
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What is the purpose of the CAST diagram in solving trigonometric equations?
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What is the formula for the area of a parallelogram?
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What is the general solution for trigonometric equations when no interval is given?
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What is the formula for the area of a circle?
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What is the purpose of finding the reference angle in solving trigonometric equations?
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What is the surface area of a prism or cylinder?
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What is the formula for the circumference of a circle?
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What is the purpose of unfolding a prism or cylinder into a net?
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What is the formula for the area of a square?
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What is the period of the function y = cos kθ?
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What is the formula for the surface area of a rectangular prism?
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What is the effect of k on the period of the function y = cos kθ when k > 1?
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What is the y-intercept of the function y = cos kθ?
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What is the formula for the volume of a right cone?
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If the dimensions of a rectangular prism are multiplied by a factor of $k$, what happens to the surface area?
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What is the effect of p on the graph of the function y = cos(θ + p) when p > 0?
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What is the period of the function y = tan kθ?
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What is the formula for the area of a trapezium?
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What is the effect of k on the period of the function y = tan kθ when k > 1?
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What is the tangent to a circle?
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What is the domain of the function y = tan kθ?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a right cylinder?
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What is the effect of q on the graph of the function y = a tan θ + q when q > 0?
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What is the effect of a on the graph of the function y = a tan θ when a > 1?
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What is the formula for the area of a circle?
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What is the formula for the volume of a triangular prism?
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What is the range of the function y = tan kθ?
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What is the period of the function y = sin(kθ) when k is 2?
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What is the effect of q on the function y = a sin(θ) + q?
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What is the y-intercept of the function y = sin(θ) for 0° ≤ θ ≤ 360°?
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What is the amplitude of the function y = a sin(θ) when a = 2?
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What is the effect of a on the function y = a sin(θ) when a < 0?
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What is the maximum turning point of the function y = cos(θ) for 0° ≤ θ ≤ 360°?
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What is the effect of k on the function y = sin(kθ) when k > 1?
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What is the formula for the volume of a right triangular prism?
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What is the x-intercept of the function y = sin(θ) for 0° ≤ θ ≤ 360°?
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What is the effect of p on the function y = sin(θ + p) when p > 0?
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What is the formula for the surface area of a right cone?
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What is the domain of the function y = sin(θ) for 0° ≤ θ ≤ 360°?
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What is the formula for the volume of a cylinder?
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If the dimensions of a rectangular prism are multiplied by a constant factor k, what is the effect on the volume?
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What is the formula for the surface area of a square pyramid?
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If the dimensions of a rectangular prism are multiplied by a constant factor k, what is the effect on the surface area?
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What is the formula for the volume of a right pyramid?
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What is the formula for the surface area of a triangular pyramid?
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What is the formula for the volume of a sphere?
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What is the formula for the surface area of a sphere?
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What is the variable 'c' in the gradient-intercept form of a straight line equation?
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Which of the following forms of the straight line equation requires knowledge of the gradient and one point on the line?
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What is the purpose of rearranging the equation y - y1 = m(x - x1) to get y = mx + (y1 - mx1)?
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Which of the following statements is true about the gradient-intercept form of a straight line equation?
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What is the main difference between the two-point form and the gradient-point form of the straight line equation?
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What is the name of the form of the straight line equation that is also known as the 'standard form'?
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What is the formula used to derive the gradient-point form of the straight line equation from the two-point form?
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What is the main advantage of using the gradient-intercept form of the straight line equation?
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What is the inclination of a line with a gradient of -2?
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Which of the following is true about two parallel lines?
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What is the gradient of a line that is perpendicular to a line with a gradient of 3?
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What is the equation form used when the gradient and one point on the line are known?
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What is the tangent of the angle formed between a line and the positive x-axis?
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What is the inclination of a line with a gradient of 0?
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What is the equation form used when the gradient and the y-intercept are known?
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What is the relationship between the gradients of two lines that are perpendicular to each other?
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What is the inclination of a line with a gradient of undefined?
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What is the purpose of using the point-slope form of the equation of a line?
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If two lines have gradients 2 and -1/2, what can be concluded about the lines?
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If a line passes through the point (2, 3) and has a gradient of 3/2, what is the equation of the line in point-slope form?
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What is the value of sin^2(θ) + cos^2(θ) for any angle θ?
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What is the first step in finding the equation of a perpendicular line to a given line?
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What is the purpose of trigonometric identities?
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If a line has a gradient of -3/4 and passes through the point (4, 2), what is the equation of the line in gradient-intercept form?
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What is the quotient identity of tangent in terms of sine and cosine?
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If $ an heta = rac{3}{4}$, what is the value of $ an(180^\circ - heta)$?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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What is the relationship between the gradients of two perpendicular lines?
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If $\sin heta = rac{2}{3}$, what is the value of $\cos(90^\circ + heta)$?
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If $\cos heta = rac{1}{2}$, what is the value of $\sin(360^\circ - heta)$?
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What is the equation of a line in point-slope form that passes through the point (3, 4) and has a gradient of 2?
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If $ an(180^\circ + heta) = x$, what is the value of $ an heta$?
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If $\sin heta = rac{3}{5}$ and $\cos heta = rac{4}{5}$, what is the value of $ an(90^\circ - heta)$?
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If $\cos(180^\circ + heta) = x$, what is the value of $\cos heta$?
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If $ an heta = rac{2}{3}$, what is the value of $\sin(180^\circ - heta)$?
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If $\cos heta = rac{1}{2}$ and $\sin heta = rac{\sqrt{3}}{2}$, what is the value of $ an(90^\circ + heta)$?
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What is the value of cos(180° + θ) in terms of θ, if the reduction formula is applied?
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If points P and P' are symmetrical about the line y = x, what are the coordinates of P' if P is (x, y)?
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What is the value of sin(90° - θ) in terms of θ, if the reduction formula is applied?
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What is the value of tan(360° - θ) in terms of θ, if the reduction formula is applied?
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What is the value of cos(360° + θ) in terms of θ, if the reduction formula is applied?
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What is the value of sin(-θ) in terms of θ, if the reduction formula is applied?
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What is the value of tan(90° + θ) in terms of θ, if the reduction formula is applied?
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What is the value of sin(180° - θ) in terms of θ, if the reduction formula is applied?
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What is the value of cos(90° + θ) in terms of θ, if the reduction formula is applied?
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What is the value of tan(180° + θ) in terms of θ, if the reduction formula is applied?
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What is the effect of k on the period of the function y = sin(kθ)?
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What is the effect of q on the graph of y = a sin(θ) + q?
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What is the range of the function y = sin(θ)?
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What is the formula for the volume of a triangular prism?
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If a rectangular prism has dimensions l, b, and h, and we multiply one dimension by a constant factor k, what is the new volume?
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What is the amplitude of the function y = a sin(θ)?
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What is the general approach to solve trigonometric equations?
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What is the surface area of a right cone with radius r and height h?
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What is the x-intercept of the function y = sin(θ)?
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What is the formula for the area of a parallelogram?
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What is the effect of a on the shape of the graph of y = a sin(θ)?
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What is the formula for the volume of a sphere with radius r?
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What is the surface area of a prism or cylinder?
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What is the y-intercept of the function y = cos(θ)?
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What is the first step in solving a quadratic trigonometric equation?
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If a cylinder has a radius of 2 cm and a height of 5 cm, what is its volume?
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What is the period of the function y = cos(θ)?
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What is the surface area of a square pyramid with base side length b and slant height h?
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What is the purpose of the CAST diagram in solving trigonometric equations?
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What is the formula for the area of a trapezium?
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What is the maximum turning point of the function y = sin(θ)?
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If a prism has a base area of 20 cm^2 and a height of 5 cm, what is its volume?
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What is the definition of a right prism?
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What is the formula for the surface area of a triangular pyramid with base side length b and slant height h?
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What is the effect of p on the graph of y = sin(θ + p)?
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What is the importance of ensuring the equation of a given line is in gradient-intercept form?
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If a cylinder has a radius of 4 cm and a height of 10 cm, what is its surface area?
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What is the formula for the volume of a right cone with radius r and height h?
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What is the formula for the area of a trapezium?
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What is the formula for the circumference of a circle?
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What is the difference between a right prism and a cylinder?
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What is the formula for the volume of a triangular prism?
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If the dimensions of a rectangular prism are multiplied by a factor of 2, what happens to its volume?
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What is the angle at the center of a circle if the angle at the circumference is 30°?
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What is the tangent-chord theorem?
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What is the formula for the surface area of a right cone?
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What is the formula for the volume of a sphere?
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What is the theorem that states a perpendicular line from the center of a circle bisects the chord?
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What is the formula for the area of a parallelogram?
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What is the formula for the surface area of a right cylinder?
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What is the effect of k on the period of the function y = cos(kθ)?
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What is the range of the function y = tan(θ)?
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What is the effect of p on the graph of the function y = cos(θ + p)?
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What is the domain of the function y = tan(kθ)?
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What is the effect of a on the shape of the function y = a tan(θ)?
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What is the period of the function y = tan(kθ)?
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What is the effect of q on the graph of the function y = a tan(θ) + q?
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What is the x-intercept of the function y = cos(kθ)?
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What is the y-intercept of the function y = tan(kθ)?
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What is the effect of p on the graph of the function y = tan(θ + p)?
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