Podcast
Questions and Answers
What does the tangent ratio represent for a point in the Cartesian plane?
What does the tangent ratio represent for a point in the Cartesian plane?
- The angle between the line and the negative x-axis
- The length of the line from the origin to the point
- The ratio of the opposite side to the adjacent side of a right triangle (correct)
- The ratio of the angle to the x-axis
If the coordinates of point P are (2, 3), what is the value of the tangent ratio used to find angle A?
If the coordinates of point P are (2, 3), what is the value of the tangent ratio used to find angle A?
- $3 + 2$
- $ rac{3}{2}$ (correct)
- $ rac{2}{3}$
- $ rac{1}{ rac{2}{3}}$
How is angle B related to angle α for the point Q(-2, 3)?
How is angle B related to angle α for the point Q(-2, 3)?
- B and α are the same angle
- B + α = 90^ ext{o}
- B + α = 180^ ext{o} (correct)
- B and α are complementary angles
What is the value of angle B when the coordinates for point Q(-2, 3) are used?
What is the value of angle B when the coordinates for point Q(-2, 3) are used?
What is the radius of the circle centered at the origin if it passes through point P(2, 3)?
What is the radius of the circle centered at the origin if it passes through point P(2, 3)?
Which statement about the angle θ formed by point P(x, y) and the x-axis is true?
Which statement about the angle θ formed by point P(x, y) and the x-axis is true?
When working with the angle of a point in the fourth quadrant, how is the tangent ratio affected?
When working with the angle of a point in the fourth quadrant, how is the tangent ratio affected?
What relationship holds true between the angles formed with the positive and negative x-axes?
What relationship holds true between the angles formed with the positive and negative x-axes?
In which quadrant are only the sine and cosecant trigonometric ratios positive?
In which quadrant are only the sine and cosecant trigonometric ratios positive?
What is the value of $ an 45^ heta$?
What is the value of $ an 45^ heta$?
Which trigonometric ratio is undefined at $90^ heta$?
Which trigonometric ratio is undefined at $90^ heta$?
What is the sine of $30^ heta$?
What is the sine of $30^ heta$?
What is the relationship between sine and cosecant?
What is the relationship between sine and cosecant?
Which of the following statements is true regarding the trigonometric functions in Quadrant IV?
Which of the following statements is true regarding the trigonometric functions in Quadrant IV?
Which trigonometric ratio is positive in Quadrant II?
Which trigonometric ratio is positive in Quadrant II?
What is the value of tan $60^ heta$?
What is the value of tan $60^ heta$?
Which of the following statements is true about cosecant?
Which of the following statements is true about cosecant?
For the angle $0^ heta$, what is the value of sin θ?
For the angle $0^ heta$, what is the value of sin θ?
In which quadrant are tan θ and cot θ positively defined?
In which quadrant are tan θ and cot θ positively defined?
What is the cosine of angle $90^ heta$?
What is the cosine of angle $90^ heta$?
What is the value of the tangent ratio for angle A formed by the point P(2, 3)?
What is the value of the tangent ratio for angle A formed by the point P(2, 3)?
Which of the following angles represents angle B for point Q(-2, 3)?
Which of the following angles represents angle B for point Q(-2, 3)?
If point P is located at (x, y) in the Cartesian plane, which formula represents the length from the origin to point P?
If point P is located at (x, y) in the Cartesian plane, which formula represents the length from the origin to point P?
What relationship holds between angles A and B when considering point Q(-2, 3) and point P(2, 3)?
What relationship holds between angles A and B when considering point Q(-2, 3) and point P(2, 3)?
For a point located in the second quadrant, which statement about the tangent ratio is true?
For a point located in the second quadrant, which statement about the tangent ratio is true?
Angle α for point Q(-2, 3) is formed with which axis?
Angle α for point Q(-2, 3) is formed with which axis?
What is the measure of angle α given that $ an heta = rac{3}{2}$?
What is the measure of angle α given that $ an heta = rac{3}{2}$?
When plotting points in the Cartesian plane, which quadrant is characterized by positive x and negative y coordinates?
When plotting points in the Cartesian plane, which quadrant is characterized by positive x and negative y coordinates?
Which trigonometric ratio is positive in Quadrant III?
Which trigonometric ratio is positive in Quadrant III?
What is the sine value of $45^ heta$?
What is the sine value of $45^ heta$?
When the angle θ is $90^ heta$, what is the value of cos θ?
When the angle θ is $90^ heta$, what is the value of cos θ?
In which quadrant are only the cosine and secant trigonometric ratios positive?
In which quadrant are only the cosine and secant trigonometric ratios positive?
Which of the following statements is true regarding the tangent of $30^ heta$?
Which of the following statements is true regarding the tangent of $30^ heta$?
Which trigonometric ratio is defined as $\frac{y}{x}$?
Which trigonometric ratio is defined as $\frac{y}{x}$?
If point Q is located at (-2, 3) in the Cartesian plane, what is the general formula to determine angle B formed between line OQ and the positive x-axis?
If point Q is located at (-2, 3) in the Cartesian plane, what is the general formula to determine angle B formed between line OQ and the positive x-axis?
What is the correct relationship between angle α and angle B when considering point Q(-2, 3) in the Cartesian plane?
What is the correct relationship between angle α and angle B when considering point Q(-2, 3) in the Cartesian plane?
When determining the angle θ formed by point P(2, 3) with the x-axis, which of the following represents the radius of the circle centered at the origin?
When determining the angle θ formed by point P(2, 3) with the x-axis, which of the following represents the radius of the circle centered at the origin?
Which of the following statements correctly describes the coordinates of point P(2, 3) in relation to angle A?
Which of the following statements correctly describes the coordinates of point P(2, 3) in relation to angle A?
For angle B formed by point Q(-2, 3), which of the following correctly describes the tangent ratio in this case?
For angle B formed by point Q(-2, 3), which of the following correctly describes the tangent ratio in this case?
What would be the approximate degree measure of angle A formed at point P(2, 3)?
What would be the approximate degree measure of angle A formed at point P(2, 3)?
When plotting a point P(x, y) in relation to the radius r, which of the following statements is true?
When plotting a point P(x, y) in relation to the radius r, which of the following statements is true?
In dealing with angles in the Cartesian plane, which statement correctly compares angles formed in the first and second quadrants?
In dealing with angles in the Cartesian plane, which statement correctly compares angles formed in the first and second quadrants?
In which quadrant is the sine value positive and the tangent value undefined?
In which quadrant is the sine value positive and the tangent value undefined?
Given the angle $45^\circ$, what is the value of cosecant?
Given the angle $45^\circ$, what is the value of cosecant?
Which trigonometric ratio is represented by the formula $\frac{r}{y}$?
Which trigonometric ratio is represented by the formula $\frac{r}{y}$?
What is the tangent value for angle $30^\circ$?
What is the tangent value for angle $30^\circ$?
For angles in Quadrant IV, which of the following trigonometric ratios is positive?
For angles in Quadrant IV, which of the following trigonometric ratios is positive?
