sample2exam3 (Math 121) - x = 2 and 2 x , nd: (a) cos x (b)...

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MATH 121 Sample Exam 3 Fall, 2007 Exact answers are expected for every problem. For example, if your answer is 3 2 , do not plug this into your calculator and report the answer as 0 . 866. Leave your answer as a radical. Be sure your calculator is set to the correct mode, DEGREES or RADIANS. 1. (20 pts) Compute the EXACT values of: (a) sin 45 (b) sin 22 . 5 (c) cos p π 12 P 2. (20 pts) The terminal side of an angle t passes through the point ( - 1 , - 2). Compute the EXACT values of: (a) cos t (b) sin t (c) sin 2 t 3. (15 pts) If csc
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Unformatted text preview: x = 2 and 2 x , nd: (a) cos x (b) sin p x + 3 P 4. (15 pts) Prove the following identity: cos 3 x = 4 cos 3 x-3 cos x 5. (15 pts) Compute the EXACT value of: sin cos 1 -1 4 6. (15 pts) Consider the graph of a function f ( t ) below. f ( t ) t 3-3 5 p 12 11 p 12 p 12-(a) Determine values of A , b , and c such that f ( t ) = A sin( bt + c ). (b) Find the period, amplitude, and phase shift of f ( t ). 1...
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