(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
(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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![(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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97ff372b-2b9f-48f1-ab4f-21cd3049dfd3%2F5ed2c5bc-fd7c-4a75-9999-99f6be7825b5%2F2vaa2qh_processed.jpeg&w=3840&q=75)
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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