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Prove the identity. 1 + sin t cos t 1 - sin t cos t We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate of the denominator. We can then use a Pythagorean Identity on the numerator and simplify. 1 + sin t cos t cos t 1 - sin t 1 - sin t (cos t)(1 + sin t) 1 - (cos t)(1 + sin t) 1 + sin t cos t

Prove the identity. 1 + sin t cos t 1 - sin t cos t We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate of the denominator. We can then use a Pythagorean Identity on the numerator and simplify. 1 + sin t cos t cos t 1 - sin t 1 - sin t (cos t)(1 + sin t) 1 - (cos t)(1 + sin t) 1 + sin t cos t

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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Prove the identity. 1 + sin t cos t 1 - sin t cos t We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate of the denominator. We can then use a Pythagorean Identity on the numerator and simplify. 1 + sin t cost cos t 1 - sin t 1 - sin t (cos t)(1 + sin t) (cos t)(1 + sin t) 1 + sin t cos t
Transcribed Image Text:Prove the identity. 1 + sin t cos t 1 - sin t cos t We begin by multiplying the numerator and the denominator of the left side of the equation by the conjugate of the denominator. We can then use a Pythagorean Identity on the numerator and simplify. 1 + sin t cost cos t 1 - sin t 1 - sin t (cos t)(1 + sin t) (cos t)(1 + sin t) 1 + sin t cos t
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