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)
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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