FINALTrig - MAC 1114 FINAL EXAM 12/10/2007 SHOW ALL YOUR...

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Unformatted text preview: MAC 1114 FINAL EXAM 12/10/2007 SHOW ALL YOUR WORK. Answers without procedure will be graded zero. 1. Decide whether the following statements are True or False. a.- 3 2 radians = 90 d. sec( 2 )- 1 cos( 2 ) = 0 b. cot 90 is not defined e. sin( - 4 ) =- sin( 4- ) c. If = sec- 1 1 2 , then does not exist 2. A pendulum swings through an angle of 20 each second. If the pendulum is 40 inches long, how far does its tip move each second? 3. Without a calculator compute the value of a) (cos 23 +sin 64 ) csc 23 and b) tan 10 - cot 80 4. Given tan = 3 4 , and sin < 0, find sin and cos . 5. a) Write the equation of a cosecant function with the following characteristics, Amplitude A = 2 3 , Period T = 3, and Phase Shift =- 1 . 5. b) Sketch the graph of such a function. Hint : first draw the corresponding sine function. 6. Find the exact value of sin(tan- 1 (- 3)) 7. Establish the identity 1- cos 2 1 + sin = sin 8. a) Using sum and difference formulas find: sin8....
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FINALTrig - MAC 1114 FINAL EXAM 12/10/2007 SHOW ALL YOUR...

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