Prove the following identity. sin 20 1 - cos 20 We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify. cot 0 = 2 sin 0 · sin 20 1 - cos 20 - 2 sin2 0) 2 sin 0 · 2 sin2 0 sin 0 = cot 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 60E
icon
Related questions
Question
100%
Prove the following identity.
sin 20
1 - cos 20
We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify.
cot 0 =
2 sin 0 ·
sin 20
1 - cos 20
- 2 sin2 0)
2 sin 0 ·
2 sin2 0
sin 0
= cot 0
Transcribed Image Text:Prove the following identity. sin 20 1 - cos 20 We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify. cot 0 = 2 sin 0 · sin 20 1 - cos 20 - 2 sin2 0) 2 sin 0 · 2 sin2 0 sin 0 = cot 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning