154E3-F2010

154E3-F2010 - MA 15400 Exam 3 Fall 2010 C sin(u + v) = sin...

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MA 15400 Exam 3 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 = 1 1 + tan 2 = sec 2 1 + cot 2 = csc 2 A B C c a b α β γ
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Exam 3 Fall 2010 Covers Lessons 20-30, which include Section 7.4 questions 35-50, and all of 7.6, 8.1, 8.2, and 8.3 1 1. Find the exact solutions of the equation that are in the interval [ ) 0,2 π . sin 2 sin 0 t t + = A. 5 0, , , 3 3 B. 3 2 4 , , , 2 2 3 3 C. 3 5 , , , 2 2 3 3 π π D. 2 4 0, , , 3 3 E. None of the above. 2. Find the exact value of the expression. 1 7 sin sin 6 A. 7 6 B. 6 C. 5 6 D. 6 E. None of the above. 3. Which of the following is the equation of the given graph? A. 1 1 2sin 2 y x = B. 1 1 1 sin 2 2 y x = C. ( ) 1 2sin 2 y ( ) 1 1 sin 3 3 y x = π -1 - 1/2 0 1/2 1
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154E3-F2010 - MA 15400 Exam 3 Fall 2010 C sin(u + v) = sin...

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