A Tangent Range from an Inequality

Problem

Given that

sin⁡θ3cos⁡θ+1>1,\frac{\sin\theta}{\sqrt 3\cos\theta+1}>1,

find the range of tan⁡θ\tan\theta.

Answer

Solution

Difficulty6/10
Topicstrigonometry, Trigonometric Identities, Casework

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