In Delta ABC , if x=tan((B-C)/(2))tan.(A...

In `Delta ABC` , if `x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/(2) and z=tan((A-B)/(2))tan.(C)/(2)` then `(x+y+z)=`.

A

xyz

B

2xyz

C

`-xyz`

D

`(1)/(2)xyz`

Text Solution

Verified by Experts

The correct Answer is:

C

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If Delta ABC , if x = tan((B-C)/(2)) tan.(A)/(2), y = tan((C-A)/(2)) tan.(B)/(2) and z = tan((A-B)/(2))tan.(C )/(2) , then (x + y + z) =

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