Simplify the expression to a single trigonometric function of and .

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Simplify the expression sin⁡(α+β) cos⁡(α−β)+cos⁡(α+β) sin⁡(α−β)\sin(\alpha+\beta)\,\cos(\alpha-\beta)+\cos(\alpha+\beta)\,\sin(\alpha-\beta) to a single trigonometric function of α\alpha and β\beta.

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