Express Each of the Following as the Product of Sines and Cosines: Sin 12x + Sin 4x - Mathematics

प्रश्न

Express each of the following as the product of sines and cosines:
sin 12x + sin 4x

योग

उत्तर

$\sin 12 x + s i n 4 x$
$= 2 \sin (\frac{12 x + 4 x}{2}) \cos (\frac{12 x - 4 x}{2}) {∵ \sin A + \sin B = 2 \sin (\frac{A + B}{2}) \cos (\frac{A - B}{2})}$
$= 2 \sin 8 x \cos 4 x$

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Transformation Formulae

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

Q 1.1 Q 8 Q 1.2

अध्याय 8: Transformation formulae - Exercise 8.2 [पृष्ठ १७]

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अध्याय 8 Transformation formulae
Exercise 8.2 | Q 1.1 | पृष्ठ १७

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Express Each of the Following as the Product of Sines and Cosines: Sin 12x + Sin 4x - Mathematics

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Express Each of the Following as the Product of Sines and Cosines: Sin 12x + Sin 4x - Mathematics

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