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TestTrig2_08 - Name Version A MAC 1114 Test 2[5 points I...

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Name: Version A MAC 1114 Test 2 03/06/2008 [5 points] I. MULTIPLE CHOICE 1. For y = - 5 sin( - 2 x + π 2 ), suppose AM =amplitude, T =Period and φ ω = phase shift. Then which of the following holds. a) AM = 5 b) AM = - 5 c) AM = 5 d) AM = 5 e) AM = - 5 T = - π T = π T = π T = π T = 2 π φ ω = π 4 φ ω = π 2 φ ω = π 4 φ ω = - π 4 φ ω = - π 2 2. Suppose θ = cos - 1 - 3 5 . Choose the appropriate diagram corresponding to the angle θ in standard position. 3. cos - 1 (cos π ) = π True False 4. sin θ - π 2 = cos θ True False Given a = sin - 1 b answer the following 5. a is an angle True False 6. b is an angle True False
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SHOW ALL YOUR WORK. Answers without procedure will be graded zero. [15 points] II. FREE RESPONSE [4 pts] 1. Suppose we have y = A sec( ω ( x - φ ω )), where A = 4, ω = 2 π , φ ω = - 1 4 and hence the period T = 2 π ω = 1. Sketch the graph of the function y with this characteristics. *Recall you may first find the corresponding cosine graph. [4 pts] 2. Find the exact value of a) tan - 1 - 3 b) cos sin - 1 3 5
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[4 pts] 3. Establish the identity tan θ 1 - cos θ - tan θ 1 + cos θ = 2 csc θ [4 pts] 4. Find the exact value using sum, difference, double-angle or half-angle formulas.
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