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If w=x+y+z then (sin x+ sin y+ sin z- si...

If `w=x+y+z` then `(sin x+ sin y+ sin z- sin w)` is equal to-

A

`4 cos ""(y+z)/(2) cos ""(y+z)/(2) cos ""(z+y)/(2)`

B

`4 sin ""(y+z)/(2) sin ""(z+x)/(2) sin ""(x+y)/(2)`

C

`4 sin ""(x+y)/(2) sin "" (y+z)/(2) cos "" (z+x)/(2)`

D

`4 sin ""(x+y)/(2) cos ""(y+z)/(2) cos ""(z+x)/(2)`

Text Solution

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The correct Answer is:
B
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