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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If cos⁡x+cos⁡y+cos⁡α=0\cos x+\cos y+\cos \alpha=0 and sin⁡x+sin⁡y+sin⁡α=0\sin x+\sin y+\sin \alpha=0, then cot⁡(x+y2)\cot \left(\frac{x+y}{2}\right) is equal to
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Correct option: C
cot⁡α\cot \alpha
Option C (cot⁡α\cot \alpha) is correct because it is derived by dividing the sum-to-product forms of the given equations and simplifying.

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