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Name__________________________________________________ Date _______________________ Row Pre Calculus Chapter 5 Test REVIEW Verify the identity. sec θ sin θ 1) -1=0 tan θ 2) 8) Find cos (2θ). csc θ = 5 , θ lies in quadrant 3 II. Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 9) 2 cos275° - 1 1 1 =1 2 cos θ cot2 θ Use trigonometric identities to find the exact value. 3) cos 15° cos 45° - sin 15° sin 45° 2 tan 10) π 6 1 - tan 2 π 6 4) sin 250° cos 10° - cos 250° sin 10° 5) tan 85° - tan (-35°) 1 + tan 85° tan (-35°) Use a half-angle formula to find the exact value of the expression. 5π 11) sin 12 Use the given information to find the exact value of the expression. 2 6) Find tan (2θ). sin θ = , θ lies in quadrant I. 3 12) cos 22.5° 7) Find cos α . 2 sin α = - 21 , α lies in 29 quadrant IV. 1 13) tan 75° 18) sin x (cos x + 1) = 0 Use an identity to solve the equation on the interval [0, 2 π). 19) tan 2x - tan x = 0 Find all solutions of the equation. 14) 2 cos θ + 1 = 0 20) sin2 2x = 1 15) cos θ - 1 = 0 21) sin 2x + sin x = 0 Solve the equation on the interval [0, 2 π). 16) cos2 x + 2 cos x + 1 = 0 17) 2 sin2 x = sin x 22) cos 2x = 2 2 - cos 2x