sin x Prove the identity. 2x = 2 csc?x-1 1+ cos ..... To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen. 1+ cos x %3D sin x n2x = 2 cscx-1 Apply a double-angle identity. Apply a tangent identity. Apply a Pythagorean identity.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
icon
Related questions
Topic Video
Question
Prove the identity.
1+ cosX
= 2 csc?x-1
sin x
To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression
according to the step chosen.
1+ cos X
2
sinx
%3D
= 2 csc?x-1
Apply a double-angle identity.
Apply a tangent identity.
Apply a Pythagorean identity.
Transcribed Image Text:Prove the identity. 1+ cosX = 2 csc?x-1 sin x To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen. 1+ cos X 2 sinx %3D = 2 csc?x-1 Apply a double-angle identity. Apply a tangent identity. Apply a Pythagorean identity.
Prove the identity.
2.
= 2 csc?x-1
1+ cos x
sin x
To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression
according to the step chosen.
1+ cos X
sin x
= 2 csc?x-1
Factor in the numerator.
Simplify, then write as a difference of two terms.
Multiply by 1.
Transcribed Image Text:Prove the identity. 2. = 2 csc?x-1 1+ cos x sin x To verify the identity, work each side separately until you obtain the same expression. Start with the left side. Choose the correct step and transform the expression according to the step chosen. 1+ cos X sin x = 2 csc?x-1 Factor in the numerator. Simplify, then write as a difference of two terms. Multiply by 1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,