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

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSTrigonometric Ratios Of Compound Angles1 Mark
Question
Prove that:
$\frac{\sin2\text{x}}{1+\cos2\text{x}}=\tan\text{x}$
✓

Answer

$\text{LHS}=\frac{\sin2\text{x}}{1+\cos2\text{x}}=\frac{2\sin\text{x},\cos\text{x}}{2\cos^2\text{x}}$
$=\frac{\sin\text{x}}{\cos\text{x}}$
$=\tan\text{x}=\text{RHS}$

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