(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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 71E
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
=
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning