154E2-F2010

# 154E2-F2010 - MA 15400 Exam 2 Fall 2010 sin u v = sin u cos...

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Unformatted text preview: MA 15400 Exam 2 Fall 2010 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 Fall 2010 Covers Lessons 12 -19, which include Sections 6.7, 7.2, 7.3, and 7.4 through question #25 1 1. Find the exact value of sides b and c in the given triangle. Do not rationalize the denominator. A. 5 5 3 , 2 2 b c = = B. 5 3, 10 b c = = C. 5 2, 5 3 b c = = D. 5 10 , 3 3 b c = = E. None of the above. 2. To the nearest tenth of a centimeter, find the perimeter of the given triangle. A. 12.3cm B. 16.1cm C. 15.9cm D. 14.8cm E. None of the above. 3. A builder wishes to construct a ramp 24 feet long that rises to a height of 4.7 feet above level ground. Approximate, to the nearest tenth of a degree, the angle that the ramp should make with the ground....
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154E2-F2010 - MA 15400 Exam 2 Fall 2010 sin u v = sin u cos...

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