Prove that the given equation is an identity. (sin 8 cos 8)2 = 1 - sin 20 Multiply out the left-hand side. (sin 8 - cos 8)2 = sin? e – COS Regroup the terms, and then use the double-angle formula for sine and the trigonometr (sin 8 - cos 0)2 (sin? e + Need Help? Read It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 60E
icon
Related questions
Topic Video
Question

sec 9.2

Prove that the given equation is an identity.
(sin 8 - cos 0)² = 1 - sin 20
Multiply out the left-hand side.
(sin 8 - cos 8)2 = sin? e –
Regroup the terms, and then use the double-angle formula for sine and the trigonometric identity for sin? e + cos? 0.
(sin 8 - cos e)2
(sin
(sin? e +
=
Need Help?
Read It
Transcribed Image Text:Prove that the given equation is an identity. (sin 8 - cos 0)² = 1 - sin 20 Multiply out the left-hand side. (sin 8 - cos 8)2 = sin? e – Regroup the terms, and then use the double-angle formula for sine and the trigonometric identity for sin? e + cos? 0. (sin 8 - cos e)2 (sin (sin? e + = Need Help? Read It
Expert 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
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:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning