Verify the identity. tan² (u) - sin²(u) = tan² (u) sin²(u) sin²(u) tan² (u) sin²(u) = = = sin²(u)-( cos² (u) sin²(u) cos² (u) cos² (u) |)(1-cos²(u)) cos² (u) sin²(u) (₁-[ (1 cos² (u) tan²(u) sin²(u)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Verify the identity.
tan² (u) - sin²(u) = tan²(u) sin²(u)
sin²(u)
tan²(u) - sin²(u) =
=
sin²(u) - (
cos² (u)
sin²(u) cos²(u)
cos² (u)
sin²(u)
cos² (u)
tan² (u) sin²(u)
|)(1-cos²(u))
cos² (u)
Transcribed Image Text:Verify the identity. tan² (u) - sin²(u) = tan²(u) sin²(u) sin²(u) tan²(u) - sin²(u) = = sin²(u) - ( cos² (u) sin²(u) cos²(u) cos² (u) sin²(u) cos² (u) tan² (u) sin²(u) |)(1-cos²(u)) cos² (u)
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