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Question

Mathematics Question on Trigonometric Identities

If α+β+γ=2π, then the value of cotα2cotβ2+cotα2cotγ2+cotβ2cotγ2\cot\frac{\alpha}{2}\cot\frac{\beta}{2}+\cot\frac{\alpha}{2}\cot\frac{\gamma}{2}+\cot\frac{\beta}{2}\cot\frac{\gamma}{2} is

A

0

B

1

C

π2\frac{\pi}{2}

D

π3\frac{\pi}{3}

E

12\frac{1}{2}

Answer

1

Explanation

Solution

The correct option is (B): 1