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Express Each of the Following as the Product of Sines and Cosines: Sin 5x − Sin X - Mathematics

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Question

Express each of the following as the product of sines and cosines:
sin 5x − sin x

Solution

\[\sin 5x - \sin x\]
\[ = 2\sin \left( \frac{5x - x}{2} \right) \cos \left( \frac{5x + x}{2} \right) \left\{ \because \sin A - \sin B = 2\sin\left( \frac{A - B}{2} \right)\cos\left( \frac{A + B}{2} \right) \right\}\]
\[ = 2 \sin 2x \cos 3x\]

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APPEARS IN

 RD Sharma Solution for Mathematics Class 11 (2019 (Latest))
Chapter 8: Transformation formulae
Ex. 8.2 | Q: 1.2 | Page no. 17
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Solution Express Each of the Following as the Product of Sines and Cosines: Sin 5x − Sin X Concept: Transformation Formulae.
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