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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If cosec⁡A+cot⁡A=112\operatorname{cosec} A+\cot A=\frac{11}{2}, then tan⁡A\tan A is equal to
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Correct option: C
44117\frac{44}{117}
Option C (44117\frac{{44}}{{117}}) is correct because by using the identity csc⁡2A−cot⁡2A=1\csc^2 A - \cot^2 A = 1 and solving the system of equations, we can find the value of tan⁡A\tan A.

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