(b) (i) Given that cos.x=0, show that the equation sin 2x cos x cos 2x can be written in the form 2 sin²x2 sinx-1=0 (ii) Show that all solutions of the equation 2 sin²x+2 sinx-1=0 are given by √3-1 sin.x where p is an integer. P

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 71E
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(b) (i) Given that cos.x = 0, show that the equation
sin 2x cos x cos 2x
can be written in the form
2 sin2x+ 2 sinx-1=0
(ii) Show that all solutions of the equation 2 sin²x+2 sinx1=0 are given by
√3-1
where p is an integer.
P
sin x
=
Transcribed Image Text:(b) (i) Given that cos.x = 0, show that the equation sin 2x cos x cos 2x can be written in the form 2 sin2x+ 2 sinx-1=0 (ii) Show that all solutions of the equation 2 sin²x+2 sinx1=0 are given by √3-1 where p is an integer. P sin x =
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