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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
4/54 / 5 or 3/43 / 4
Option C (4/54/5 or 3/43/4) is correct because solving the trigonometric equation 12cot⁡2θ−31cosec⁡θ+32=012 \cot ^2 \theta-31 \operatorname{cosec} \theta+32=0 leads to sin⁡θ=3/4\sin \theta = 3/4 or 4/54/5.

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