[Use Pythagore [Simplify] II II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 53E
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Simplify the lefthandside so that LHS = RHS:
cos(b)
cos (b)
– 2 tan(b)
1+ sin(b)
1 – sin(b)
cos(b)
cos(b)
1+ sin(b)
1 – sin(b)
[Write as one fraction using LCD]
[Simplify the numerator and FOIL the
=
denominator]
[Use Pythagorean Identity]
[Simplify]
= – 2 tan(b)
Transcribed Image Text:Simplify the lefthandside so that LHS = RHS: cos(b) cos (b) – 2 tan(b) 1+ sin(b) 1 – sin(b) cos(b) cos(b) 1+ sin(b) 1 – sin(b) [Write as one fraction using LCD] [Simplify the numerator and FOIL the = denominator] [Use Pythagorean Identity] [Simplify] = – 2 tan(b)
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