Verify the identity. cos2 0(1+ tan n2 ²0) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 14RE
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Verify the identity.
2
cos ² 0 (1 + tan ²0) = 1
To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.
cos² 0(1+
2
2
+ tan ²0) =
=
COS
2
COS
= 1
01 +
sin 0
cos (
$0²
COS
2
cos 0²
Apply a quotient identity.
+ sin 0²
Apply the appropriate even-odd identity.
Transcribed Image Text:Verify the identity. 2 cos ² 0 (1 + tan ²0) = 1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. cos² 0(1+ 2 2 + tan ²0) = = COS 2 COS = 1 01 + sin 0 cos ( $0² COS 2 cos 0² Apply a quotient identity. + sin 0² Apply the appropriate even-odd identity.
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