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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If π<α<3π2\pi < \alpha < \frac{3 \pi}{2}, then 1−cos⁡α1+cos⁡α+1+cos⁡α1−cos⁡α=\sqrt{\frac{1-\cos \alpha}{1+\cos \alpha}}+\sqrt{\frac{1+\cos \alpha}{1-\cos \alpha}}=
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Correct option: B
−2sin⁡α-\frac{2}{\sin \alpha}
Option B (−2sin⁡α-\frac{{2}}{{\sin \alpha}}) is correct because, within the given range for alpha, the expression simplifies to this value considering the sign of sine in that quadrant.

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