Consider the following. tan(uv) = Prove the identity. tan(u - v) = = II tan(u) - tan(v) 1+ tan(u) tan(v) sin(u-v) sin(u) cos(v) - cos(u) sin(v) cos(u) cos(v) + sin(u) cos(v) cos(u) sin(v) cos(u) cos(v) cos(u) cos(v) + sin(u) sin(v) sin(u) cos(v) \cos(u) cos(v)) cos(u) cos(u) cos(v) U2) (co cos(V) + cos(u) sin(v) cos(v) (a sin(v)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Question
Consider the following.
tan(uv) =
=
Prove the identity.
tan(u - v)
=
11
11
||
Additional Materials
tan(u) - tan(v)
1+ tan(u) tan(v)
sin(u - v)
sin(u) cos(v) cos(u) sin(v)
cos(u) cos(v) +
sin(u) cos(v) — cos(u) sin(v)
cos(u) cos(v)
cos(u) cos(v) + sin(u) sin(v)
sin(u) cos(v)
cos(u)
3) (3
cos(u) cos(v)
cos(u) cos(v)
B)
+
cos(u)
sin(v)
(cos(u) cos(v))
|)(
sin(v)
cos(v)
Transcribed Image Text:Consider the following. tan(uv) = = Prove the identity. tan(u - v) = 11 11 || Additional Materials tan(u) - tan(v) 1+ tan(u) tan(v) sin(u - v) sin(u) cos(v) cos(u) sin(v) cos(u) cos(v) + sin(u) cos(v) — cos(u) sin(v) cos(u) cos(v) cos(u) cos(v) + sin(u) sin(v) sin(u) cos(v) cos(u) 3) (3 cos(u) cos(v) cos(u) cos(v) B) + cos(u) sin(v) (cos(u) cos(v)) |)( sin(v) cos(v)
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