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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If A,  B,  C,  DA,\;B,\;C,\;D are the angles of a quadrilateral, then ∑tan⁡A∑cot⁡A\frac{{\sum \tan A}}{{\sum \cot A}} is equal to
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Correct option: A
∏tan⁡A\prod \tan A
Option A (∏tan⁡A\prod \tan A) is correct because using the condition A+B+C+D=2πA + B + C + D = 2\pi, we can derive the given expression to be equal to the product of tangents.

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