1.   Simplify sin A sec A.
    A. cot A B. cos A
    C. tan A D. sin A
    Hint

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

  3.   Determine the solution of 3 sin x + 2 = cos 2x for .
    A. B.
    C. D.
    Hint

  4.   What is the amplitude and period of the function y = 3 cos (-)?
   
    A. Amplitude = 2,
Period =
B. Amplitude = 3,
Period = –
    C. Amplitude = 3,
Period = 2
D. Amplitude = 3,
Period =
    Hint

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

  6.   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 = 4 sin + 11 B. y = 4 sin + 9
    C. y = 2 sin + 9 D. y = 2 sin + 11
    Hint

  7.   The graph below is a representation of which function?
   
    A.
    B.
    C.
    D.
    Hint

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

  9.   Which of the following is not equivalent to the other three?
    A. 2 cot x sec x
    B.
    C.
    D.
    Hint

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

  11.   Which statement is true?
    A. sin 45° = –cos (–45°)
    B. cos 135° = sin 45°
    C. cos 225° = sin 45°
    D. sin 30° = cos 300°
    Hint

  12.   Find the exact value of sin 165°.
    A. B.
    C. D.
    Hint

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

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



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