Quiz__7_-_March_21st,_2007-KEY

Quiz__7_-_March_21st,_2007-KEY - b cos(3 x sin(3 x = 3 x...

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Math 1180 Quiz #7 March 21st, 2007 Name:__________________________________________________________________ Please answer the following questions to the best of your ability. Print clearly and present your solution as concisely as possible. Thanks and good luck. θ θ sec 1 cos = , θ θ csc 1 sin = , θ θ cot 1 tan = , θ θ sin 1 csc = , θ θ cos 1 sec = , θ θ tan 1 cot = 1 cos sin 2 2 = + θ θ θ θ 2 2 sec tan 1 = + θ θ 2 2 csc cot 1 = + 1. Identify the following as identities, conditional equations, or contradictions (2 points each).
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Unformatted text preview: b. cos(3 x ) + sin(3 x ) = 3 x This is a conditional equation c. sin(2 x ) + sin 2 ( x ) = 2 This is a contradiction 2. Verify the following identity (4 points). 1 csc sin sec cos = + u u u u . We begin with the left-hand side. u u u u u u u u sin 1 sin cos 1 cos csc sin sec cos + = + RHS u u u u u u = = + = + 1 sin cos sin 1 sin cos 1 cos 2 2...
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