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Trigonometric Ratios Of Compound Angles — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometric Ratios Of Compound Angles1 Mark
Question
Prove that:
$\frac{\sin2\text{x}}{1-\cos2\text{x}}=\cot\text{x}$
✓

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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