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Unformatted text preview: MAC1114  Homework 12
Due Thursday  April 7
1. Recall that cos(u + v ) = cos u cos v − sin u sin v .
(a) Show that cos(2u) = 1 − 2 sin2 u.
(b) Use part (a) to show that sin2 u = 1 − cos 2u
2 (c) Use part (b) to show that, for v in quadrant I, sin v =
2
2. Solve the equation tan x − sin x = 0 in the interval [0, 2π ).
2
3. If cos x = 1
5 and x is in Quadrant I, nd sin 4x. 1 1 − cos v
2 ...
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This note was uploaded on 06/10/2011 for the course MAC 1114 taught by Professor Gentimis during the Spring '11 term at University of Florida.
 Spring '11
 Gentimis
 Algebra

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