154E2-S2011 - MA 15400 Spring 2011 Exam 2 sin u v = sin u cos v cos u sin v sin u − v = sin u cos v − cos u sin v cos u v = cos u cos v − sin

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Unformatted text preview: MA 15400 Spring 2011 Exam 2 sin( u + v ) = sin u cos v + cos u sin v sin( u − v ) = sin u cos v − cos u sin v cos( u + v ) = cos u cos v − sin u sin v cos( u − v ) = cos u cos v + sin u sin v tan( u + v ) = tan u + tan v 1 − tan u tan v tan( u − v ) = tan u − tan v 1 + tan u tan v sin(2 u ) = 2sin u cos u cos(2 u ) = cos 2 u − sin 2 u tan(2 u ) = 2tan u 1 − tan 2 u sin 2 θ + cos 2 θ = 1 1 + tan 2 θ = sec 2 θ 1 + cot 2 θ = csc 2 θ A B C c a b α β γ MA 15400 Exam 2 Spring 2011 Covers Lessons 12 to 22, which include all of Sections 6.7, 7.2, 7.3, 7.4, and 7.6 to question #34 1 1. Approximate the perimeter of the given triangle to one decimal place. A. 20.5 B. 18.7 C. 30.4 D. 26.2 E. None of the above 2. A 32-foot ladder leans against the side of a 200-foot tall building such that the angle between the ladder and the building is 26°. To the nearest tenth of a foot, how far will the top of the ladder move up the side of the building if the bottom of the ladder is then moved 3 feet closer to the building?...
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This note was uploaded on 09/13/2011 for the course MATH 154 taught by Professor staff during the Spring '09 term at Purdue University-West Lafayette.

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154E2-S2011 - MA 15400 Spring 2011 Exam 2 sin u v = sin u cos v cos u sin v sin u − v = sin u cos v − cos u sin v cos u v = cos u cos v − sin

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