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Trigonometric Identities — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTrigonometric Identities2 Marks
Question
Prove the following trigonometric identities.
$\text{cosec}\theta\sqrt{1-\cos^2\theta}=1$
✓

Answer

$\text{L.H.S}=\text{cosec}\theta\sqrt{\sin^2\theta}\ [\because\ 1-\cos^2\theta=\sin^2\theta]$
$=\text{cosec}\theta\times\sin\theta$
$=1=\text{R.H.S}$
$\therefore\ \text{L.H.S}=\text{R.H.S}$

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