Simplify the expression to a single trigonometric ratio in terms of only.

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

Problem

Simplify the expression sin⁡xcos⁡20∘+cos⁡xsin⁡20∘−sin⁡xcos⁡70∘−cos⁡xsin⁡70∘\sin x \cos 20^\circ + \cos x \sin 20^\circ - \sin x \cos 70^\circ - \cos x \sin 70^\circ to a single trigonometric ratio in terms of xx only.

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