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

\(\left( 1-\sin x \right)\left( 1+\operatorname{cosec}x \right)=\cos x\cot x\)

\(\frac{2+2\sin x-{{\cos }^{2}}x}{\sin x}=\operatorname{cosec}x+2+\sin x\)

Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

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