1.   Simplify sin .
    A. sin x + cos2x B. tan x
    C. 2 sin x D. 2 cos x
    Hint

  2.   is equivalent to _____.
    A. tan2x - 1 B. cot2x
    C. sin2x + cos x D. 2 tan x
    Hint

  3.   Which expression is equivalent to csc x – sin x?
    A. sin x + cos x B. cos2x + sin2x
    C. D. sin x – cos x
    Hint

  4.   How many periods will the function y = 2sincontain in 9 radians?
    A. B. 3
    C. 27 D.
    Hint

  5.   Which function will have the most periods in 2 radians?
    A. y = 4sin(4) B. y = 2sin
    C. y = 3sin (5) D. y = 5sin
    Hint

  6.   How is the function y = 3 cos ( +20) – 4 shifted?
    A. shifted 4 units up and 20° to the right
    B. shifted 4 units up and 20° to the left
    C. shifted 4 units down and 20° to the left
    D. shifted 4 units down and 20° to the right
    Hint

  7.   Which of the following is an example of a function with a phase shift?
    A. y = 5 sin B. y = 1 + 3 cos
    C. y = 2 sin ( – 15) D. y = 3 + cos
    Hint

  8.   Find tan if cos = and 0° < < 90°
    A. B. 8
    C. D.
    Hint

  9.   Find the exact value of sin (–75°).
    A. B.
    C. D.
    Hint

  10.   Find the exact value of cos (480°).
    A. B.
    C. D.
    Hint

  11.   Suppose sin = and sin 2 = . In which quadrant(s) could this be?
    A. first and second B. first or fourth
    C. second only D. first only
    Hint

  12.   Given that cos = and 0° < < 90°, find cos 2.
    A. B.
    C. D.
    Hint

  13.   Solve 2 cos 2 = 1.
    A. 30°, 150° B. 150°, 210°
    C. 30°, 150°, 210°, 330° D. 30°, 330°
    Hint

  14.   Solve 5 cos 2 + 4 cos – 12 = 0.
    A. 34°, 326° B. no solution
    C. 34°, 146°, 214°, 326° D. 146°, 214°
    Hint



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