<p>Prove the following identities.</p>
<ol class="i-list"><li data-list-item-id="item-i"><div class="list-item-content"><span class="list-item-text">\((1 + \tan x)^2 + (1 - \tan x)^2 = 2 \sec^2 x\)</span></div></li><li data-list-item-id="item-ii"><div class="list-item-paragraph">\((\cot x + 1)^2 + (\cot x - 1)^2 = 2 \ \mathrm{cosec}^2 x\)</div></li></ol>

\((1 + \tan x)^2 + (1 - \tan x)^2 = 2 \sec^2 x\)

\((\cot x + 1)^2 + (\cot x - 1)^2 = 2 \ \mathrm{cosec}^2 x\)

Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

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