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Transformation Formulae — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTransformation Formulae1 Mark
Question
Express the following as the sum or difference of sines and cosines: $2\sin4\text{x}\sin3\text{x}$
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Answer

$2\sin4\text{x}\sin3\text{x}$ $\because\ 2\sin\text{A}\sin\text{B}=\cos(\text{A}-\text{B})-\cos(\text{A+B})$ $\Rightarrow\ 2\sin4\text{x}\sin3\text{x}=\cos(4\text{x}-3\text{x})-\cos(4\text{x}+3\text{x})$ $=\ \cos\text{x}-\cos7\text{x}$

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