HW12 - 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

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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.

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