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Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Show that tan(y) sin(y) -+= cot(y) + sec(y) csc(y) 1+ cos(y) 1 – cos(y)
Transcribed Image Text:Show that tan(y) sin(y) -+= cot(y) + sec(y) csc(y) 1+ cos(y) 1 – cos(y)
Expert Solution
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.

\frac{\tan \left(y\right)}{1+\cos \left(y\right)}+\frac{\sin \left(y\right)}{1-\cos \left(y\right)}

use cross multiplication

=\frac{\tan \left(y\right)\left(1-\cos \left(y\right)\right)+\sin \left(y\right)\left(1+\cos \left(y\right)\right)}{\left(1+\cos \left(y\right)\right)\left(1-\cos \left(y\right)\right)}

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