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Express the Following as the Sum Or Difference of Sines and Cosines:2 Cos 3x Sin 2xa - Mathematics

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प्रश्न

Express the following as the sum or difference of sines and cosines:
2 cos 3x sin 2xa

योग

उत्तर

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

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अध्याय 8: Transformation formulae - Exercise 8.1 [पृष्ठ ६]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 8 Transformation formulae
Exercise 8.1 | Q 1.2 | पृष्ठ ६

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