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Find the exact value of the expression. 1) 77t 12 sin 57t 12 - cos 57t 12 sin 12 cos 1) Complete the identity. 2) 3) sin (a + = ? 2) COS a cos ß A) tan ß + tan a B) - -tan a + cot ß C) tan a + tan ß D) cot a + cot ß Use the given information to find the exact value of the expression. 3 3) tan a = a lies in quadrant III, and cos ß = - lies in quadrant II Find sin (a + ß). 3) Use the figure to find the exact value of the trigonometric function. 4) Find sin 20. 4) 29 21 e 20 Use the given information to find the exact value of the expression. 5) tan 0 = 15. 15 0 lies in 8 quadrant III Find sin 20. 5) Complete the identity. 6) 1 + cos 2x = ? 6) sin 2x A) tan X B) cos2 X C) sin² X D) cot X 7) 8 sin X cos³ X + 8 sin 3 X COS X = ? 7) A) 4 COS 2x B) 4 sin 2x C) 4 sin X D) 4 cos X Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1. 8) sin4 X 8) 3 2 + cos 4x 013-2c0s2x+700 - + cos 4x 9) 3 sin² x cos² x 9) 3 4 3 B) 3 3 sin 2x 8 8 cos 4x 8 3 8 cos 2x Use the given information to find the exact value of the trigonometric function. 10) cos 0 -1/ = CSC 0>0 Find sin 10) Complete the identity. 11) cot , 2 0 = ? 11) 1 sin 0 sin 0 sin 0 sin 0 B) C) D) + cos 0 sin 0 + cos 0 1 - cos 0 sin 0 - cos 0 Express the product as a sum or difference. 12) sin 6x sin 2x 12) Express the sum or difference as a product. 13) COS 4x + cos 2x 13) Solve the equation on the interval [0, 2c.) 14) sin 4x Y/s = 2 3 14) 15) cos2 X + 2 cos X + 1 = 0 15) Solve the equation on the interval [0, 2mc. 16) COS X + 2 cos X sin X = 0 16) Solve the equation on the interval [0, 2mc. 17) cos 2x = - cos 2x 17) Complete the identity. sin X cos X 18) + = ? 18) cos X sin X A) sec X CSC X B) 1 + cot X C) sin X tan X D) -2 - tan2 X 19) = 19) A) sin2x+1 B) cot2 X - 1 C) 1 D) cot2 X + 1 20) COS X - sin X + sin X - COS X - ? 20) COS X sin X A) 2 + sec X CSC X B) 2 - sec X CSC X C) sec X CSC X D) 1 - sec X CSC X

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