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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If α+β=π2\alpha+\beta=\frac{\pi}{2} and β+γ=α\beta+\gamma=\alpha, then tan⁡α\tan \alpha is equal to
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Correct option: C
tan⁡β+2tan⁡γ\tan \beta+2 \tan \gamma
Option C (tan⁡β+2tan⁡γ\tan \beta+2 \tan \gamma) is correct because it expresses tan⁡α\tan \alpha in terms of tan⁡β\tan \beta and tan⁡γ\tan \gamma based on the given relationships between the angles.

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