If and are acute angles such that

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

Problem

If α\alpha and β\beta are acute angles such that α−β=17∘\alpha - \beta = 17^\circ, express sin⁡αcos⁡β−cos⁡αsin⁡β\sin\alpha\cos\beta - \cos\alpha\sin\beta as a single trigonometric ratio of a numerical angle.

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