Answer the following questions about triple–angle expressions.

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Answer the following questions about triple–angle expressions. (i) Derive an expression for sin⁡3θ\sin 3\theta entirely in terms of sin⁡θ\sin \theta. (ii) Hence prove that sin⁡3θ=3sin⁡θ−sin⁡3θ4.\sin^{3}\theta=\frac{3\sin\theta-\sin 3\theta}{4}.

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