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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If 3π4<a<π\frac{3 \pi}{4} < a < \pi, then cosec⁡2α+2cot⁡α=\sqrt{\operatorname{cosec}^2 \alpha+2 \cot \alpha}=
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Correct option: C
−1−cot⁡α-1-\cot \alpha
Option C (−1−cot⁡α-1-\cot \alpha) is correct because within the given range for α\alpha, 1+cot⁡α1 + \cot \alpha is negative, so the square root evaluates to the negative of that expression.

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