ía) Given that z cos) + isino, show that z" + z" = 2cosn0 and z"- z" = 2isinno. Hence or otherwise, show that cos 20+sin 20=-(cos80+3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 7RE
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(a)
Given that z cos) + isino, show that z" + z" = 2cosn0 and z"- z"= 2isinn0.
%3D
%3D
Hence or otherwise, show that
cos* 20+ sin 20 =-(cos80+3).
4
(b)
The transformation T:z w in the complex plane is defined by
az +b
Transcribed Image Text:(a) Given that z cos) + isino, show that z" + z" = 2cosn0 and z"- z"= 2isinn0. %3D %3D Hence or otherwise, show that cos* 20+ sin 20 =-(cos80+3). 4 (b) The transformation T:z w in the complex plane is defined by az +b
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