<p class="paragraph-header">IB AA SL: core and optional content</p>
<p>Core: the first identity. Optional: the second identity involving sec.</p>
<ol class="abc-list"><li data-list-item-id="item-a" data-list-item-path="item-a"><div class="list-item-paragraph">Show that&nbsp;\(\frac{5+4 \sin x-\cos^2x}{\sin^2x-4} = \frac{\sin x+2}{\sin x-2}\).</div></li><li data-list-item-id="item-b" data-list-item-path="item-b"><div class="list-item-paragraph">Prove that&nbsp;\(\frac{\sec^2x+2 \tan x}{1-\tan^2x} = \frac{1+\tan x}{1-\tan x}\).</div></li></ol>

Core: the first identity. Optional: the second identity involving sec.

Show that \(\frac{5+4 \sin x-\cos^2x}{\sin^2x-4} = \frac{\sin x+2}{\sin x-2}\).

Prove that \(\frac{\sec^2x+2 \tan x}{1-\tan^2x} = \frac{1+\tan x}{1-\tan x}\).

Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

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