If alpha + beta + gamma=pi, then the va...

If `alpha + beta + gamma=pi, ` then the value of `sin ^(2) alpha + sin ^(2) beta - sin^(2) gamma ` is equal to ....... A) `2 sin alpha ` B) `2 sin alpha cos beta sin gamma` C) `2 sin alpha sin beta cos gamma` D) `2 sin alpha sin beta sin gamma`

A

`2 sin alpha `

B

`2 sin alpha cos beta sin gamma`

C

`2 sin alpha sin beta cos gamma`

D

`2 sin alpha sin beta sin gamma`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If alpha + beta - gamma =pi, then sin ^(2) alpha + sin^(2) beta- sin ^(2) gamma=

If alpha+beta+gamma=2pi then

If alpha+beta-gamma=pi , then sin^2alpha+sin^2beta-sin^2gamma=

sin (beta+ gamma- alpha) + sin (gamma+ alpha - beta) + sin (alpha + beta- gamma)- sin (alpha + beta + gamma)=

2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=

If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

If alpha,beta,gammain(0,pi/2) , then (sin(alpha+beta+gamma))/(sinalpha+sinbeta+singamma) is