Prove the identity. 2 sin 20 cos 20+ cos 40=1-sin 40 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. 2 sin ²0 cos ²0 + cos 40 = Now apply an identity to just the expression in the parentheses The part of the expression in parentheses simplifies to Continue the proof. 2 sin 20 cos 20+ cos 40 = a way that will further the proof of the identity. Apply a 1-sin ¹0 identity.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 68E
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Prove the identity.
2 sin ²0 cos ²0+ cos 40 = 1 - sin ¹0
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.
2 sin ²0 cos ²0 + cos 40
Now apply an identity to just the expression in the parentheses in a way that will further the proof of the identity. Apply a
The part of the expression in parentheses simplifies to
Continue the proof.
=
2 sin ²0 cos ²0 + cos 40
=
=
1 - sin 40
identity.
Transcribed Image Text:Prove the identity. 2 sin ²0 cos ²0+ cos 40 = 1 - sin ¹0 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. 2 sin ²0 cos ²0 + cos 40 Now apply an identity to just the expression in the parentheses in a way that will further the proof of the identity. Apply a The part of the expression in parentheses simplifies to Continue the proof. = 2 sin ²0 cos ²0 + cos 40 = = 1 - sin 40 identity.
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