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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If α,β,γ\alpha, \beta, \gamma are three distinct real numbers such that 0<α,β,γ<π/20<\alpha, \beta, \gamma<\pi / 2, then tan⁡(α−β)+tan⁡(β−γ)+\tan (\alpha-\beta)+\tan (\beta-\gamma)+ tan⁡(γ−α)\tan (\gamma-\alpha) is equal to:
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Correct option: D
none of these
The correct answer is D (none of these) because the given expression simplifies to the product of the tangents, not a constant value.

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