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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If α,β,γ∈[0,π]\alpha, \beta, \gamma \in[0, \pi] and α,β,γ\alpha, \beta, \gamma are in AP, then sin⁡α−sin⁡γcos⁡γ−cos⁡α\frac{\sin \alpha-\sin \gamma}{\cos \gamma-\cos \alpha} is equal to
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Correct option: C
cot⁡β\cot \beta
Option C (cot⁡β\cot \beta) is correct because, given that α,β,γ\alpha, \beta, \gamma are in AP, we can simplify the expression sin⁡α−sin⁡γcos⁡γ−cos⁡α\frac{{\sin \alpha - \sin \gamma}}{{\cos \gamma - \cos \alpha}} to cot⁡β\cot \beta.

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