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Prove the following identities. 1. 2 2 tan 1 sec θ θ + = 2. sin cos 2 π θ θ     − =   3. ( ) ( ) sin 2 cot 1 cos 2 θ θ θ = − 4. Find the exact value of sin105° . 5. Given 1 sin 3 A = − and 5 cos 3 B = where A terminates in QIII and B terminates in QI. Find cos( ) A B− . 6. Given 1 cos 4 A = where A terminates in QIV. Find sin 2   A    . Solve. 7. Find all radian solutions: 3 tan x + =1 0 8. Find all degree solutions: 2cos(3x − 30° −) 1 = 0 9. Find all degree solutions: 2sin2 x x + 3cos = 0 10. Find degree solutions in the interval 0 ≤ < θ 360° . Round to the nearest tenth of a degree. sin2 θ − 3sin 1 θ + = 0

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