A2 Final Exam Quiz

What is the radian measure of a full circle?

• 180 degrees

• `pi` radians

• 360 degrees

• `2pi` radians

What is the reference angle for an angle measuring 210 degrees?

• 30 degrees

• 60 degrees

• 120 degrees

• 150 degrees

Which of the following statements about reference angles is true?

• The reference angle is always acute.

• The reference angle is always obtuse.

• The reference angle can be acute or obtuse depending on the quadrant.

• The concept of reference angles only applies to the sine and cosine functions.

What is the range of the function `y = -3cos(x) - 2`?

• [-5, 1]

• [-3, 1]

• [-4, 2]

• [-2, 2]

What is the inverse of the function y = sin(x) in the interval `[-pi/2, pi/2]`?

• `y = sin^-1(x)`

• `y = cos(x)`

• `y = tan(x)`

• `y = csc(x)`

Which of the following points on the unit circle represents an angle of 150 degrees?

• `(1/2, -sqrt(3)/2)`

• `(sqrt(3)/2, 1/2)`

• `(-sqrt(3)/2, 1/2)`

• `(-1/2, sqrt(3)/2)`

What is the value of `sin((5pi)/6)`?

• `-1/2`

• `-sqrt3/2`

• `1/2`

• `sqrt3/2`

What is the equation of the cosine function with a phase shift of `pi/2`, a period of `2pi`, and an amplitude of 3?

• `y = cos(3x - pi/2)`

• `y = 3cos(x - pi/2)`

• `y = cos(2x - pi/2)`

• `y = 3cos(2x - pi/2)`

What is the value of `cos^-1(1/2)`?

• `pi/3`

• `pi/4`

• `pi/6`

• `(2pi)/3`

What is the Pythagorean identity?

• `sin^2(theta) + cos^2(theta) = 1`

• `sin(theta) + cos(theta) = 1`

• `tan(theta) + cot(theta) = 1`

• `sec(theta) + csc(theta) = 1`