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

  2.   Which is the graph of y = cos 3?
    A.
    B.
    C.
    D.
    Hint

  3.   Find tan if 90° < < 180°, and csc .
    A. B.
    C. D.
    Hint

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

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

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

  7.   Find the exact value of sin 75°.
    A. B.
    C. D.
    Hint

  8.   Find the solution for 2 cos x =1 where .
    A. B.
    C. D.
    Hint

  9.   Solve 2 sin2 x – sin x = 1 for .
    A. B.
    C. D.
    Hint

  10.   A runner's pace oscillates during a race between 9 mph and 13 mph. For a one-hour race, this person's pace oscillates 20 times. What is a sine function that represents this situation?
    A. y = 2 sin + 11 B. y = 2 sin + 9
    C. y = 4 sin + 11 D. y = 4 sin + 9
    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 = 5 + sin [2( –45)] B. y = 1 + sin [2( –45)]
    C. y = 3 + sin [4( –45)] D. y = 5 + sin [4( –45)]
    Hint

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

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

  14.   Find cos if sin x = and x is in the second quadrant.
    A. B.
    C. D.
    Hint



Glencoe
The McGraw-Hill Companies