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Quiz 7 Solutions - Quiz 7 Math 115-007 November 5 2009 1(12...

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Quiz 7 Name: ______________________ Math 115-007 November 5, 2009 1. (12 points) Given cos(θ) = 3 1 (with θ in Quadrant I), find the following using the appropriate double-angle or half-angle formula: sin( θ ) = 3 8 cos( θ 2 ) = 2 2 3 8 3 1 - sin( 2 θ ) = 2 3 1 1 - cos( 2 θ ) = 2 3 1 1 + tan( 2 θ ) = 3 1 1 3 1 1 + - sin( θ 2 ) = 3 8 3 1 2 2. (2 points each) Find the following trigonometric values using half-angle or sum- and difference-identities. a. sin( 12 π ) = 2 2 3 1 2 ) 6 cos( 1 - = - π b. tan( 8 5 π ) = 2 2 1 2 2 1 ) 4 5 cos( 1 ) 4 5 cos( 1 + - = + - π π
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