lf sintheta+sinphi =a and costheta + cos...

lf `sintheta+sinphi =a` and `costheta + cosphi = b`, find the value of `tan((theta-phi)/2) `

A

`sqrt((a^(2) +b^(2))/(4-a^(2)-b^(2)))`

B

`sqrt((4- a^(2)- b^(2))/(a^(2) +b^(2)))`

C

`sqrt((a^(2) +b^(2))/(4+ a^(2) +b^(2)))`

D

`sqrt((4+ a^(2) +b^(2))/(a^(2) +b^(2)))`

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The correct Answer is:

B

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