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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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α,  β(α≠β)\alpha ,\;\beta \left( {\alpha \ne \beta } \right) satisfy the equation a  cos⁡θ+b  sin⁡θ=ca\,\,\cos \theta + b\,\,\sin \theta = c, then the value of tan⁡(α+β2)\tan \left( {\frac{{\alpha + \beta }}{2}} \right), is

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Correct option: A
b/ab/a
Option A (b/ab/a) is correct because it represents the value of tan⁡(α+β2)\tan \left( {\frac{{\alpha + \beta }}{2}} \right) derived from transforming the given equation and using trigonometric identities.

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