Questions and Answers
What is the equation of the straight line that passes through two points (x_1, y_1) and (x_2, y_2)?
What is the gradient of the line when the gradient-point form is y - y_1 = m(x - x_1)?
What is the value of c in the gradient-intercept form y = mx + c?
What is the y-intercept of the line when the equation is in the gradient-intercept form?
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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 equation of the straight line that passes through two points (x_1, y_1) and (x_2, y_2) in the two-point form?
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What is the advantage of using the gradient-intercept form of the straight line equation?
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What is the standard form of the straight line equation?
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What is the relationship between the gradient and the inclination of a straight line?
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What is the condition for two lines to be perpendicular?
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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 quotient identity for tangent?
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If the gradient of a line is -2, what is the angle of inclination?
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What is the value of tan(30°) 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 square identity in trigonometry?
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Which of the following is a fundamental trigonometric identity?
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What is the condition for parallel 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?
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What is the gradient of a horizontal line?
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What is the purpose of trigonometric identities?
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What is the value of sin(180° - θ) in terms of sin(θ)?
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What is the importance of the gradient-intercept form in finding the equation of a parallel line?
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What is the formula to calculate the perpendicular gradient?
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What is the value of cos(180° - θ) in terms of cos(θ)?
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What is the relationship between the tangent function and the angle of inclination?
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Why is tan θ undefined when cos θ = 0?
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What is the value of tan(180° + θ) in terms of tan(θ)?
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What is the common technique used to prove trigonometric identities?
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What is the coordinate of P' if P is (-√3, 1) and P' is symmetrical about the y-axis?
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What is the inclination of a line with a gradient of 1?
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What is the formula to find the equation of a line that is perpendicular to a given line and passes through a specific point?
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What is the value of sin^2(θ) + cos^2(θ) for all values of θ?
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What is the purpose of the CAST diagram in trigonometry?
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What is the value of cos^2(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'?
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What is the value of sin(180° + θ)?
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What is the value of cos(360° - θ)?
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If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?
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What is the value of tan(-θ)?
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What is the value of sin(90° + θ)?
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What is the value of cos(90° - θ)?
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What is the value of sin(360° + θ)?
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What is the value of cos(360° + θ)?
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What is the value of tan(360° + θ)?
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What is the value of sin(68°) / cos(22°)?
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What is the first step in solving a trigonometric equation?
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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 triangle?
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What is the formula for the area of a circle?
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What is the surface area of a prism?
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What is the shape of the base of a right prism?
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What is the shape of the unfolded net of a cube?
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What is the characteristic of a right prism?
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What is the shape of a right prism that has a triangular base?
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What is the period of the function y = sin(kθ)?
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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 amplitude of the function y = a sin(θ)?
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What is the effect of a on the function y = a sin(θ)?
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What is the range of the function y = sin(θ)?
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What is the x-intercept of the function y = sin(θ)?
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What is the effect of k on the function y = sin(kθ)?
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What is the y-intercept of the function y = cos(θ)?
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What is the period of the function y = cos(θ)?
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What is the effect of a on the function y = a cos(θ)?
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What is the formula for the area of a trapezium?
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What is the formula for the surface area of a sphere?
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If a triangle has a base of 5 units and a height of 6 units, what is its area?
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What is the formula for the volume of a rectangular prism?
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What is the formula for the volume of a rectangular prism?
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What happens to the surface area of a shape when its dimensions are scaled by a factor of 2?
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What is the formula for the surface area of a cylinder?
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What is the formula for the volume of a right cone?
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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 name of the line that touches the circle at only one point on the circumference?
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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 cylinder?
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What is the formula for the volume of a triangular prism?
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What is the name of the part of the circle that is cut off by a chord?
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If the length of a rectangular prism is multiplied by a constant factor k, what is the new volume?
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What is the formula for the area of a circle?
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What is the formula for the surface area of a square pyramid?
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What is the formula for the volume of a sphere?
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What happens to the volume of a prism when one of its dimensions is multiplied by a constant factor k?
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What is the formula for the surface area of a right triangular pyramid?
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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?
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What is the domain 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 period of the function y = tan θ?
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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 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 k 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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Which of the following forms 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 value of y when x = 0 in the gradient-intercept form of the straight line equation?
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What is the advantage of using the gradient-intercept form of the straight line equation?
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What is the equation of the straight line that passes through two points (x1, y1) and (x2, y2)?
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What is the value of tan(90° + θ) in terms of tan(θ)?
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What is the relationship between the gradient and the y-intercept of a straight line?
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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 the gradient-point form of the straight line equation?
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What is the value of sin(360° - θ) in terms of sin(θ)?
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What is the process of deriving the gradient-intercept form from the gradient-point form?
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What is the significance of the constant c in the gradient-intercept form of the straight line equation?
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What is the value of tan(θ) in terms of sin(θ) and cos(θ)?
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What is the value of sin^2(θ) + cos^2(θ) for all values of θ?
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What is the value of cos(180° - θ) in terms of cos(θ)?
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If the gradient of a line is 2, what is the angle of inclination?
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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 tan(-θ) in terms of tan(θ)?
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Which of the following is true about a line with a negative gradient?
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What is 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 gradient of a line that is parallel to a line with a gradient of 3?
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What is the inclination of a line that is parallel to the x-axis?
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If the gradient of a line is undefined, what is the inclination of the line?
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What is the relationship between the gradient and the inclination of a straight line?
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What is the equation form used to find the equation of a line that passes through two points?
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What is the purpose of the CAST diagram in trigonometry?
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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 in terms of their gradients?
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If point P is rotated through 90°, what are the coordinates of P'?
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What is the purpose of trigonometric identities?
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How can you determine the equation of a perpendicular line?
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What is the value of sin(360° + θ) in terms of sin(θ)?
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What is the quotient identity for tangent in terms of sine and cosine?
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If points P and P' are symmetrical about the origin, what are the coordinates of P'?
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What is the square identity in trigonometry?
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What is the value of cos(90° + θ) in terms of sin(θ)?
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What is the first step in finding the equation of a perpendicular line?
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If points P and P' are symmetrical about the x-axis, what are the coordinates of P'?
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What is the importance of the gradient-intercept form in finding the equation of a parallel line?
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What is the value of tan(180° + 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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Why is tan(θ) undefined when cos(θ) = 0?
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If points P and P' are symmetrical about the line y = x, what are the coordinates of P'?
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What is the common technique used to prove trigonometric identities?
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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 sin^2(θ) + cos^2(θ) for all values of θ?
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What is the value of tan(-θ) in terms of tan(θ)?
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What is the purpose of the CAST diagram in trigonometry?
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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 formula for the area of a circle?
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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 surface area of a prism?
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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 formula for the area of a rectangle?
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What is the formula for the area of a square?
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What is the formula for the volume of a cylinder?
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What is the formula for the area of a square?
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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 surface area of a sphere?
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What is the formula for the volume of a triangular pyramid?
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What is the formula for the surface area of a sphere?
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What happens to the volume of a rectangular prism if its dimensions are multiplied by a factor of k?
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What is the formula for the volume of a triangular pyramid?
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If the dimensions of a rectangular prism are multiplied by a constant factor k, what is the new volume?
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What is the name of 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 formula for the surface area of a square pyramid?
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What is the formula for the volume of a right cone?
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What is the name of the line that touches a circle at only one point?
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What is the formula for the area of a trapezium?
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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 surface area of a right cone?
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If the dimensions of a rectangular prism are multiplied by a constant factor k, what is the new surface area?
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What is the formula for the volume of a cylinder?
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What is the formula for the volume of a sphere?
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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 = sin(kθ)?
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What is the effect of a on the shape of the function y = a 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 q on the graph of the function y = a sin(θ) + q?
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What is the domain of the function y = sin(θ)?
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What is the amplitude of the function y = a sin(θ)?
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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 y-intercept of the function y = cos(θ)?
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What is the maximum turning point of the function y = cos(θ)?
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What is the effect of p on the graph of the function y = sin(θ + p)?
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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 = tan kθ?
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What is the range of the function y = cos 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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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 y-intercept of the function y = cos 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 = tan kθ?
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What is the asymptote of the function y = tan kθ?
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What is the main application of the two-point form of the straight line equation?
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What is the value of 'c' in the gradient-intercept form of the straight line equation?
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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 the purpose of expanding the brackets in the gradient-point form?
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What is the equation of the straight line that passes through a point $(x_1, y_1)$ with a gradient 'm'?
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What is the definition of the gradient of a line?
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What is the relationship between the gradient-intercept form and the standard form of the straight line equation?
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Why is the gradient-intercept form useful in finding the equation of a parallel line?
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What is the correct expression for tan(θ) in terms of sin(θ) and cos(θ)?
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What is the value of sin(180° + θ) in terms of sin(θ)?
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What is the correct expression for cos²(θ) + sin²(θ)?
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What is the value of tan(360° + θ) in terms of tan(θ)?
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If P is (-√3, 1) and P' is symmetrical about the y-axis, what are the coordinates of P'?
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What is the correct expression for cos(180° - θ) in terms of cos(θ)?
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What is the value of sin²(θ) in terms of cos(θ)?
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What is the purpose of the quotient identity in trigonometry?
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What is the relationship between the gradient and the inclination of a straight line?
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What is the inclination of a line with a gradient of -2?
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What is the condition for two lines to be parallel?
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What is the equation form used to find the equation of a line that is parallel to a given line?
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What is the condition for two lines to be perpendicular?
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What is the gradient of a horizontal line?
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What is the quotient identity for tangent?
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What is the inclination of a vertical line?
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What is the tangent of an angle θ in a right-angled triangle?
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What is the square identity in trigonometry?
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What is the first step in finding the equation of a perpendicular line?
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What is the importance of the Gradient-Intercept Form in finding the equation of a parallel line?
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What is the relationship between the gradient and the y-intercept of a line in the Gradient-Intercept Form?
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What is the purpose of trigonometric identities?
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What is the formula to calculate the perpendicular gradient?
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What is the condition for a line to have a negative gradient?
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Why is tan θ undefined when cos θ = 0?
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What is the common technique used to prove trigonometric identities?
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What is the importance of the gradient-intercept form in finding the equation of a parallel line?
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What is the formula to find the equation of a line that is perpendicular to a given line and passes through a specific point?
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If point P is rotated through 90°, what are the coordinates of P'?
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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 sin(θ)?
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If points P and P' are symmetrical about the origin, what are the coordinates of P'?
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What is the value of tan(90° - θ) in terms of tan(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 sin(-θ) in terms of sin(θ)?
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What is the value of tan(180° + θ) in terms of tan(θ)?
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If points P and P' are symmetrical about the y-axis, what are the coordinates of P'?
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What is the value of cos(90° - θ) in terms of sin(θ)?
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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 shape of the function y = a sin(θ)?
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What is the y-intercept 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 function y = sin(θ + p)?
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What is the period of the function y = cos(θ)?
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What is the amplitude of the function y = a sin(θ)?
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What is the x-intercept of the function y = cos(θ)?
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What is the maximum turning point of the function y = sin(θ)?
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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 formula for the area of a triangle?
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What is the formula for the area of a circle?
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If a line is drawn from the center of a circle perpendicular to a chord, what happens?
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What is the formula for 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 cylinder?
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What is the effect on the volume of a shape if its dimensions are multiplied by a factor of k?
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What is the formula for the area of a trapezium?
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What is the angle subtended by an arc of a circle at the center?
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What is the formula for the volume of a triangular prism?
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What is the period of y = cos kθ?
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Which of the following shapes is a geometric solid with a polygon as its base and sides that converge at a point called the apex?
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What happens to the period of y = cos kθ when k > 1?
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If the radius of a cylinder is doubled, what will be the effect on the surface area and volume of the cylinder?
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What is the range of y = cos kθ?
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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 is the effect of p on the graph of y = tan(θ + p)?
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What is the period of y = tan kθ?
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If the dimensions of a rectangular prism are tripled, what will be the effect on the surface area and volume of the prism?
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What is the formula for the surface area of a sphere?
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What happens to the period of y = tan kθ when k > 1?
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What is the formula for the volume of a cylinder?
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What is the domain of y = tan kθ?
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What is the formula for the volume of a right pyramid?
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What is the effect of a on the graph of y = a tan θ + q?
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If the length of a rectangular prism is doubled, what will be the effect on the surface area and volume of the prism?
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What is the general approach to solve trigonometric equations?
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What is the y-intercept of y = tan kθ?
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What is the formula for the surface area of a square pyramid?
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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 y = a tan θ + q?
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What is the name of the diagram used to determine the quadrants where the trigonometric function is positive or negative?
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What is the formula for the area of a circle?
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What is the advantage of using reduction formulae in trigonometry?
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What is the formula for the surface area of a prism?
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What is the name of the geometric solid that has a polygon as its base and vertical sides perpendicular to the base?
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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 solving trigonometric equations?
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What is the general approach to find the general solution of a trigonometric equation?
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What is the value of tan(θ) in terms of sine and cosine?
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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(180° - θ) in terms of cos(θ)?
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What is the value of tan(180° + θ) in terms of tan(θ)?
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What is the square identity in trigonometry?
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What is the value of cos^2(θ) in terms of sin(θ)?
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What is the value of sin^2(θ) in terms of cos(θ)?
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What is the coordinate of P' if P is (√3, 1) and P' is symmetrical about the y-axis?
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Which form of the straight line equation is used when two points on the line are known?
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What is the value of y when x = 0 in the equation y = mx + c?
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What is the purpose of the constant c in the equation y = mx + c?
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How is the gradient-point form of the straight line equation derived?
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What is the relationship between the gradient of a line and the inclination of a straight line?
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What is the advantage of using the gradient-intercept form of the straight line equation?
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How can the equation of a line be written in the gradient-intercept form?
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What is the equation of the line that passes through the point (x1, y1) and has a gradient of m?
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What is the relationship between the gradients of two perpendicular lines?
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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 quotient identity for tangent?
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What is the formula to calculate the perpendicular gradient?
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Why is tan(θ) undefined when cos(θ) = 0?
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What is the square identity in trigonometry?
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What is the importance of the gradient-intercept form in finding the equation of a parallel line?
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What is the common technique used to prove trigonometric identities?
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What is the relationship between the gradient of a line and its inclination?
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What is the value of sin(180° + θ) in terms of sin(θ)?
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What is the inclination of a vertical line?
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If points P and P' are symmetrical about the y-axis, what are the coordinates of P'?
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What is the condition for two lines to be parallel?
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What is the value of cos(90° - θ) in terms of sin(θ) and cos(θ)?
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What is the formula 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 tan(360° + θ) in terms of tan(θ)?
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What is the value of sin(360° - θ) in terms of sin(θ)?
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What is the purpose of the CAST diagram in trigonometry?
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What is the value of cos(-θ) in terms of cos(θ)?
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If the gradient of a line is -2, what is the angle of inclination?
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What is the effect of a negative gradient on the angle of inclination?
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What is the value of tan(90° + θ) in terms of tan(θ)?
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What is the importance of the gradient-intercept form in finding the equation of a parallel line?
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What is the relationship between the tangent function and the angle of inclination?
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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(180° + θ) in terms of tan(θ)?
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What is the formula to find the equation of a line that is perpendicular to a given line and passes through a specific point?
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What is the purpose of the reduction formulae in trigonometry?
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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 purpose of the CAST diagram in trigonometry?
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What is the formula for the area of a circle?
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What is the formula for the surface area of a prism?
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What is the first step in solving a quadratic trigonometric equation?
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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 purpose of the general solution in trigonometric equations?
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What is the formula for the volume of a cylinder?
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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 triangular pyramid?
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If the length of a rectangular prism is multiplied by a factor of 2, what happens to the volume?
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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 square pyramid?
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If the height of a cylinder is multiplied by a factor of 3, what happens to the volume?
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What is the formula for the surface area of a triangular pyramid?
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If the radius of a sphere is multiplied by a factor of 2, what happens to the surface area?
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What is the formula for the volume of a rectangular prism?
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What is the period of y = cos kθ?
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What is the effect of k > 1 on the period of y = cos kθ?
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What is the domain of y = cos kθ?
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What is the effect of p > 0 on the graph of y = cos(θ + p)?
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What is the period of y = tan kθ?
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What is the effect of k > 1 on the period of y = tan kθ?
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What is the domain of y = tan kθ?
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What is the effect of p > 0 on the graph of y = tan(θ + p)?
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What is the y-intercept of y = tan kθ?
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What is the effect of a > 1 on the shape of y = a tan θ + q?
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What is the formula for the area of a square?
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What is the formula for the surface area of a right prism?
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What is the formula for the volume of a cylinder?
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What happens to the surface area of a shape when its dimensions are multiplied by a factor k?
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What is the name of 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 period of the function y = sin(kθ) where k is a constant?
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What is the name of the line that touches a circle at only one point?
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What is the effect of a on the graph of y = a sin(θ) when a > 1?
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What is the formula for the volume of a sphere?
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What is the name of the part of a circle that is cut off by a chord?
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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 pyramid?
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What is the effect of p on the graph of y = sin(θ + p) when p > 0?
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What happens to the volume of a shape when its dimensions are multiplied by a factor k?
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What is the period of the function y = cos(θ)?
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What is the effect of a on the graph of y = a cos(θ) when a < -1?
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What is the x-intercept of the function y = sin(θ)?
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What is the domain of the function y = sin(kθ)?
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What is the effect of q on the graph of y = sin(θ) + q when q > 0?
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What is the maximum turning point of the function y = cos(θ)?
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