Consider the trigonometric equation x+ 3x= 3 , 2x

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

Problem

Consider the trigonometric equation sin⁡x+sin⁡3x=3 cos⁡2x,\sin x+\sin 3x=\sqrt{3}\,\cos 2x, where xx is measured in degrees. (i) Rewrite each side of the equation so that all terms involve a single product of two trigonometric functions. (ii) Hence, solve the equation for 0∘≤x≤360∘0^{\circ}\le x\le360^{\circ}.

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