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Math 1100: Section 6.4 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 14) tan Use the information given about the angle , to find the exact value of the indicated trigonometric function. 4 Find cos 2 . 1) sin = - , in quadrant IV 5 2) cos =- 5 , 13 3) sec =- 13 , sin 5 in quadrant II >0 = 3, < < 17) cos 2t = sin t Find tan 2 . 5) cos 4x = 2 cos2 2x - 1 6) sin 4x = 2 sin 2x cos 2x Use the formulas to rewrite the expression that does not contain trigonometric functions of power greater than 1. 7) cos4 x 8) sin4 x - cos4 x Use half-angle formulas to find the exact value of each expression. 9) sin 22.5° 8 11) tan 75° Use the information given about the angle to find the exact value of the indicated trigonometric function. 1 Find cos . 12) sin = , tan > 0 4 2 = 12 , 5 < < 3 2 Find sin 2 2 . Find all solutions of the equation in the interval [0, 2 ). 16) sin 2x + sin x = 0 Find sin 2 . Verify the identity. 4) cos 3x = cos3 x - 3 sin2 x cos x 13) tan Find tan Verify the identity. x x 2 = 1 - sin x 15) cos - sin 2 2 18) tan 2x - tan x = 0 10) cos - 3 2 . 1