यदि sin x + sin y = a और cos x + cos y = b हो, तब tan \(\rm \frac{{x\, + \,y}}{2}\) कितना है?

1
\(\rm \frac{4}{{{a^2}\, + \,{b^2}}}\)
2
\(\rm \frac{b}{a}\)
3
\(\rm \frac{a}{b}\)
4
\(\rm \frac{4}{{{a^2}\, - \,{b^2}}}\)

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