mac1114_review2

# mac1114_review2 - x =-√ 3 2 8 Find ALL solutions of the...

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MAC 1114 / Review for Exam 2 April 2, 2009 1. Find the exact value of the expressions: (a) sec ± tan - 1 ± - 2 5 ²² (b) sin - 1 ± sin ± 6 π 7 ²² 2. Write an algebraic expression for sec ³ sin - 1 ( x - 1) ´ 3. #22 , 25 in Section 4.8 4. Factor and simplify the expression: 1 - 2 cos 2 x + cos 4 x 5. Rewrite the expression so that it is not in fractional form: 1 1 + cos x + 1 1 - cos x 6. Verify the identities: (a) tan x cot x cos x = sec x (b) tan x + cot y tan x cot y = tan y + cot x 7. Find all solutions of the equation in [0 , 2 π ) (a) sec 2 x = 1 (b) sin 2
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Unformatted text preview: x =-√ 3 2 8. Find ALL solutions of the equation: 3 sec 2 x-4 = 0 9. Find the exact value of sin 5 π 12 [Hint: 5 π 12 = 75 ◦ = 30 ◦ + 40 ◦ ] 10. Verify the identity: cos ( π-θ ) + sin ± π 2 + θ ² = 0 11. Find the exact value of the expression: tan 25 ◦ + tan 110 ◦ 1-tan 25 ◦ tan 110 ◦ 12. Find the exact value of cos ± sin-1 ± 12 13 ²-tan-1 ±-3 4 ²²...
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