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

  2.   If csc = 2, find sin .
    A. B.
    C. D. 2
    Hint

  3.   Complete the identity csc x (cos x - sec x) = ________.
    A. -cot x B. tan x
    C. cot x D. -tan x
    Hint

  4.   Use the sum or difference identity for sine to find the exact value
of sin 375°.
    A. B.
    C. D.
    Hint

  5.   If sin = and has its terminal side in the first quadrant, find the exact value of cos 2.
    A. B.
    C. D. 1
    Hint

  6.   Solve the equation cos 2x = sin x for 0° x < 360°.
    A. 30°, 90°, 150° B. 90°, 150°, 270°
    C. 30°, 150°, 270° D. 30°, 210°, 270°
    Hint

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

  8.   Find the distance between P(5, -3) and the line with equation
5x + 12y = 18.
    A. B. 13
    C. D.
    Hint

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

  10.   Use the sum or difference identity for cosine to find the exact value of cos 105°
    A. B.
    C. D.
    Hint

  11.   If cos = and has its terminal side in the first quadrant, find the exact value of sin 2.
    A. B.
    C. 2 D.
    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 angle formed by the x-axis and the normal through the origin?
    A. 126° B. 54°
    C. 144° D. 36°
    Hint

  14.   What is the distance between the lines given by the equations
5x - 2y = 14 and y = x - 9?
    A. B.
    C. 0 D.
    Hint



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