If and be two different roots of equation

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

Problem

If α\alpha and β\beta be two different roots of equation acos⁡θ+bsin⁡θ=ca \cos \theta + b \sin \theta = c, then show that sin⁡(α+β)=2aba2+b2\sin(\alpha + \beta) = \frac{2ab}{a^2 + b^2}.

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