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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If π<θ<2π\pi < \theta < 2\pi, then 1+cos⁡  θ1−cos⁡  θ\sqrt {\frac{{1 + \cos \,\,\theta }}{{1 - \cos \,\,\theta }}} is equal to
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Correct option: D
−cosec   θ−cot⁡  θ- \mathrm{cosec}\,\;\theta - \cot \,\,\theta
Option D (−cosec ;θ−cot⁡θ- \mathrm{cosec}\,\\;\theta - \cot \theta) is correct because, given π<θ<2π\pi < \theta < 2\pi, sin⁡θ\sin \theta is negative, which affects the sign when simplifying the square root.

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