. (a) Show that 1/2 + cost + cos 2t + (sin(N + cos Nt 1/2)t] /[2 sin(1/2)+] ... if + + 2m m an

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 40E
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1. (a) Show that
1/2 + cost + cos 2t +
=
{
+ cos Nt
[sin (N+1/2)t]/[2 sin(1/2)t]
N + 1/2
if t
if t
=
2πm, m an integer
2mm.
Transcribed Image Text:1. (a) Show that 1/2 + cost + cos 2t + = { + cos Nt [sin (N+1/2)t]/[2 sin(1/2)t] N + 1/2 if t if t = 2πm, m an integer 2mm.
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