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JEE • MATHEMATICS • COMPOUND ANGLES

Compound angles practice · Easy

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If tan⁡  θ+tan⁡  (θ+π3)+tan⁡  (θ+2π3)=3\tan \,\,\theta + \tan \,\,\left( {\theta + \frac{\pi }{3}} \right) + \tan \,\,\left( {\theta + \frac{{2\pi }}{3}} \right) = 3, then which of the following is equal to 1\mathrm{1} ?
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Correct option: B
tan⁡  3θ\tan \,\,3\theta
The correct answer is B (tan⁡3θ\tan 3\theta) because simplifying the given equation using trigonometric identities leads to tan⁡3θ=1\tan 3\theta = 1.
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