A Tangent Simplification

★ 7/10trigonometryTrigonometric Identities

Problem

Simplify and evaluate:

tan⁡96∘−tan⁡12∘(1+1sin⁡6∘)1+tan⁡96∘tan⁡12∘(1+1sin⁡6∘).\frac{\tan 96^\circ - \tan 12^\circ\left(1 + \dfrac{1}{\sin 6^\circ}\right)}{1 + \tan 96^\circ \tan 12^\circ\left(1 + \dfrac{1}{\sin 6^\circ}\right)}.

Answer

Solution

Difficulty7/10
Topicstrigonometry, Trigonometric Identities

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