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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The most general value of θ\theta satisfying the equations sin⁡  θ=sin⁡  α\sin \,\,\theta = \sin \,\,\alpha and cos⁡  θ=cos⁡  α\cos \,\,\theta = \cos \,\,\alpha is
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Correct option: C
nπ+αn\pi + \alpha
Option A (2nπ+α2n\pi + \alpha) is correct because it represents the general solution where θ\theta and α\alpha have the same sine and cosine values, indicating they are coterminal angles.

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