1.   Express cot (-840°) as a trigonometric function of an angle in Quadrant I.
    A. tan 60° B. - cot 60°
    C. cot 60° D. - tan 60°
    Hint

  2.   Complete the identity of _________.
    A. cot x B. cos x
    C. sin x D. tan x
    Hint

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

  4.   Use the sum or difference identity for tangent to find the exact value
of tan 255°.
    A. B.
    C. D.
    Hint

  5.   Solve sin2 x - sin x + 1 = cos2 x for 0 x < 2.
    A. 0, , , B. 0, , ,
    C. 0, , , D. 0, ,
    Hint

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

  7.   The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line.
    A. x + y - 8 = 0 B. x + y - 4 = 0
    C. x - y + 8 = 0 D. x + y + 8 = 0
    Hint

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

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

  10.   Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x
    A. 2 cos x - sin x B. 1
    C. 0 D. 3 sin x + 2 cos x
    Hint

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

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

  13.   Solve 4 sin2 x + 3 = 4 for principal values of x. Express solutions in radians.
    A. , B. ,
    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



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