(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove the Identity

sinθ/(1+cosθ) = 1-cos(θ)/sinθ

2. Relevant equations

sinθ/cosθ = tanθ

sin^2θ + cos^2θ = 1

3. The attempt at a solution

sinθ/(1 + cosθ) = LS

cosθtanθ/(1+cosθ) = LS

cosθtanθ/(sin^2θ + cos^2θ + cosθ) = LS

cosθtanθ/(tan^2θcos^2θ + cos^2θ + cosθ) = LS

(cosθ/cosθ) (tanθ/[tan^2θcosθ + cosθ + 1]) = LS

sinθ/(cosθ[tan^2θcosθ + cosθ + 1]) = LS

sinθ/(sin^2θ + cos^2θ +1) = LS

sinθ/2 = LS

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# Homework Help: Trigonometric Identity Problem

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