<p>Prove the following identities.</p>
<ol class="i-list"><li data-list-item-id="item-i"><div class="list-item-paragraph">\( \frac{\sin A}{1 + \cos A} = \tan \frac{A}{2} \)</div></li><li data-list-item-id="item-ii"><div class="list-item-paragraph">\( \frac{2 \sin A - \sin 2A}{2 \sin A + \sin 2A} = \tan^2 \frac{A}{2} \)</div></li></ol>

\[ \frac{\sin A}{1 + \cos A} = \tan \frac{A}{2} \]

\( \frac{\sin A}{1 + \cos A} = \tan \frac{A}{2} \)

\[ \frac{2 \sin A - \sin 2A}{2 \sin A + \sin 2A} = \tan^2 \frac{A}{2} \]

\( \frac{2 \sin A - \sin 2A}{2 \sin A + \sin 2A} = \tan^2 \frac{A}{2} \)

Trigonometry - Compound and Double-Angle Identities

Trigonometry - Compound and Double-Angle Identities

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