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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡Asin⁡B=32\frac{\sin A}{\sin B}=\frac{\sqrt{3}}{2} and cos⁡Acos⁡B=52\frac{\cos A}{\cos B}=\frac{\sqrt{5}}{2}, 0<A,B<π/20 < A, B < \pi / 2, then tan⁡A+tan⁡B\tan A+\tan B is equal to
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Correct option: D
(3+5)/5(\sqrt{3}+\sqrt{5}) / \sqrt{5}
Option C (136,116\frac{{13}}{{6}}, \frac{{11}}{{6}}) is correct because it satisfies both equations in the system.

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