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Trigonometric Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsTrigonometric Functions5 Marks
Question
Prove the following:
$\cot4\text{x}(\sin5\text{x}+\sin3\text{x})=\cot4\text{x}(\sin5\text{x}-\sin3\text{x})$
✓

Answer

$\text{L.H.S.}=\cot4\text{x}(\sin5\text{x}+\sin3\text{x})$$=\frac{\cos4\text{x}}{\sin4\text{x}}[2\sin4\text{x}\cos\text{x}]$
$=2\cos4\text{x}\cos\text{x}$
$\text{R.H.S.}=\cot4\text{x}(\sin5\text{x}-\sin3\text{x})$
$\text{L.H.S.} = \text{R.H.S.}$

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