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Trigonometric Ratios Of Compounds — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSTrigonometric Ratios Of Compounds1 Mark
Question
Prove that: $\frac{\sin2\text{x}}{1-\cos2\text{x}}=\cot\text{x}$
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Answer

$\text{LHS}=\frac{\sin2\text{x}}{1-\cos\text{x}}=\frac{2\sin\text{x}\cos\text{x}}{2\sin^2\text{x}}$ $=\frac{\cos\text{x}}{\sin\text{x}}$ $=\cot\text{x}=\text{RHS}$

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