Exam 3 - MATH 111 - Exam 3 - Summer 2011 - Section 1 No...

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MATH 111 - Exam 3 - Summer 2011 - Section 1 No books, notes, or calculators allowed. There is no time limit. 1. Find the exact value of tan - 1 ( - 1). (a) π 4 (b) 3 π 4 (c) 5 π 4 (d) 7 π 4 (e) 9 π 4 (f) 11 π 4 2. Find the exact value of cos - 1 (cos( 10 π 9 )). (a) π 9 (b) 8 π 9 (c) - 7 π 9 (d) - 5 π 9 (e) - π 9 (f) 10 π 9 3. Find the exact value of sin(cos - 1 ( - 2 2 )). (a) 2 2 (b) - 2 2 (c) - 1 2 (d) - 3 2 (e) 2 (f) 2 3 4. Find the exact value of sin(tan - 1 ( 2 3 )). (a) 2 13 (b) 3 13 (c) 2 11 (d) 3 11 (e) - 2 11 (f) - 3 11 5. Write the trigonometric expression tan(cot - 1 u ) as an algebraic expression of u . (a) 1 u (b) 1 u 2 - 1 (c) 1 u 2 +1 (d) u (e) u - 1 (f) u + 1 6. Write the trigonometric expression cos(csc - 1 u ) as an algebraic expression of u . (a) u 2 - 1 (b) u 2 + 1 (c) 1 u (d) u 2 +1 u (e) u 2 - 1 u (f) 1 u 7. Rewrite the expression tan θ sec θ in terms of sin θ . (a) 0
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Exam 3 - MATH 111 - Exam 3 - Summer 2011 - Section 1 No...

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