1.   Simplify cos x tan x.
    A. 1 B. csc x
    C. sin x D. cos x
    Hint

  2.   Simplify cos x + cos x tan2 x.
    A. tan x B. csc x
    C. 1 + tan x D. sec x
    Hint

  3.   If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)?
    A. B.
    C. D.
    Hint

  4.   Complete the identity = ________.
    A. tan x B. cos x
    C. cot x D. sin x
    Hint

  5.   Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis.
    A. ; 297° B. ; 117°
    C. ; 63° D. ; 243°
    Hint

  6.   Complete the identity ______________.
    A. sin A B. -cos A
    C. cos A D. -sin A
    Hint

  7.   What is the distance between the lines with equations x + y - 5 = 0 and
y = -x + 10?
    A. B.
    C. D.
    Hint

  8.   Complete the identity = _______.
    A. sec x B. -cos x
    C. tan x D. sin x
    Hint

  9.   Complete the identity sin4 x - cos4 x = __________.
    A. sin2 x - cos2 x B. tan4 x
    C. 1 D. 0
    Hint

  10.   If cos = and has its terminal side in the first quadrant, find the exact value of cos .
    A. B. -
    C. - D.
    Hint

  11.   Solve sec2 x = - 2 for -90° < x < 90°.
    A. -30°, 30° B.
    C. 60° D. -60°, 60°
    Hint

  12.   Solve for 0 x < 2.
    A. B.
    C. D.
    Hint

  13.   For the line given by the equation 5x - 7y + 24, what is the length of the normal through the origin?
    A. 2 B. 24
    C. D.
    Hint

  14.   Find the distance between the lines given by the equations y = x - and 2x - 5y = 28.
    A. B.
    C. D.
    Hint