If A+B+C=180^(@), then the value of cot(...

If `A+B+C=180^(@)`, then the value of `cot(A/2)+cot(B/2)+cot(C/2)` will be ..............
A) `2 cot ""A/2 cot ""B/2 cot""C/2`
B) `4 cot ""A/2 cot ""B/2 cot ""C/2`
C) `cot ""A/2 cot ""B/2 cot ""C/2`
D) `8 cot ""A/2 cot ""B/2 cot ""C/2`

A

`2 cot ""A/2 cot ""B/2 cot""C/2`

B

`4 cot ""A/2 cot ""B/2 cot ""C/2`

C

`cot ""A/2 cot ""B/2 cot ""C/2`

D

`8 cot ""A/2 cot ""B/2 cot ""C/2`

Verified by Experts

The correct Answer is:

C

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