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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If sin⁡x=−35\sin x=-\frac{3}{5}, where π<x<3π2\pi < x < \frac{3 \pi}{2}, then 80(tan⁡2x−cos⁡x)80\left(\tan ^2 x-\cos x\right) is equal to :
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Correct option: A
109
Option A (109) is correct because given sin⁡x=−35\sin x = -\frac{3}{5} and π<x<3π2\pi < x < \frac{3\pi}{2}, we can find tan⁡x\tan x and cos⁡x\cos x, and then evaluate the expression 80(tan⁡2x−cos⁡x)80(\tan^2 x - \cos x).

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