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Trigonometrical Identities — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsTrigonometrical Identities2 Marks
Question
Prove the following identitie:$1-\frac{\sin ^2 A}{1+\cos A}=\cos A$
✓

Answer

$1-\frac{\sin ^2 A}{1+\cos A}$
$=\frac{1+\cos A-\sin ^2 A}{1+\cos A}$
$=\frac{\cos A+\cos ^2 A}{1+\cos A}$
$=\frac{\cos A(1+\cos A)}{1+\cos A}$
$=\cos A$

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