If , prove that : x+y x-y ^2( - ) =…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

\frac{x}{\tan(\theta + \alpha)} = \frac{y}{\tan(\theta + \beta)} = \frac{z}{\tan(\theta + \gamma)}

, prove that :

\Sigma \frac{x+y}{x-y} \sin^2(\alpha - \beta) = 0.