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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If 12cot⁡2θ−31cosec⁡θ+32=012 \cot ^2 \theta-31 \operatorname{cosec} \theta+32=0, then the value of sin⁡θ\sin \theta is
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Correct option: C
45\frac{4}{5} or 34\frac{3}{4}
Option C (45\frac{4}{5} or 34\frac{3}{4}) is correct because it is obtained by solving the trigonometric equation for cosec⁡θ\operatorname{cosec} \theta and then finding the corresponding values of sin⁡θ\sin \theta.

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