ICL U6 A2 Review

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