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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If 0<x<π0 < x < \pi, and sin⁡x+cos⁡x=1/3\sin x+\cos x=1 / 3, then a possible value of tan⁡x\tan x is
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Correct option: A
18(−9+17)\frac{1}{8}(-9+\sqrt{17})
The correct answer is A (18(−9+17)\frac{1}{8}(-9+\sqrt{17})) because by squaring the given equation and using trigonometric identities, we can solve for tan x.

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