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Question

Mathematics Question on Trigonometric Ratios

If A, B and C are angles in a triangle thentan(A+B2)tan(C2)tan+tan(B+C2)tan(A2)+tan(C+A2)tan(B2)\tan\left(\frac{A + B}{2}\right) \tan\left(\frac{C}{2}\right) \tan + \tan\left(\frac{B + C}{2}\right) \tan\left(\frac{A}{2}\right) + \tan\left(\frac{C + A}{2}\right) \tan\left(\frac{B}{2}\right) =

A

0

B

1

C

2

D

3

Answer

3

Explanation

Solution

The correct option is (D):3