1.   State the amplitude and the period for y = 2 cos .
    A. amplitude = 2 ,
period =
B. amplitude = -2,
period = 180°
    C. amplitude = 2,
period = 4
D. amplitude = -2,
period = 4
    Hint

  2.   Graph y = .
    A. B.
    C. D.
    Hint

  3.   Simplify the expression sin x(1 + cot2x)
    A. sin2x B. 1 + cos2x
    C. csc x D. sin x tan x
    Hint

  4.   Rewrite (sin2 x + cos2 x) ÷ tan x as an expression involving only cot x.
    A. 1 – cot x B. 2 cot x
    C. cot2x D. cot x
    Hint

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

  6.   Find the exact value of sin 225°.
    A. B. 0
    C. D.
    Hint

  7.   What is the exact value of cos (-60°)?
    A. B. 0
    C. D. -1
    Hint

  8.   What is the exact value of cos 2x if cos x = and x is in quadrant II?
    A. B.
    C. D.
    Hint

  9.   2 cot x sin2x is equivalent to ________.
    A. cos2x + sin x B. 1 + sin2x
    C. cos D. sin 2x
    Hint

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

  11.   Suppose that we want to shift the function y = 3 + sin [2( –45)] up 2 units. What would its equation be?
    A. y = 3 + sin [4( –45)] B. y = 5 + sin [2( –45)]
    C. y = 1 + sin [2( –45)] D. y = 5 + sin [4( –45)]
    Hint

  12.   Suppose tan = . Which of the following quadrants could contain ?
    A. second only B. first only
    C. first and third D. first and second
    Hint

  13.   Solve cos = 3 cos – 1.
    A. 60°, 300° B. 30°, 330°
    C. 60°, 120° D. 30°, 150°
    Hint

  14.   Solve .
    A. 0°, 90°, 180°, 270° B. 0°, 90°, 270°
    C. 0°, 180° D. 90°, 270°
    Hint



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