If $A + B + C = \pi$ & $sin\, \left( {A\,\, + \,\,\frac{C}{2}} \right) = k \,sin,\frac{C}{2}$ then $tan\, \frac{A}{2} \,tan \, \frac{B}{2}=$
If $A + B + C = \pi$ & $sin\, \left( {A\,\, + \,\,\frac{C}{2}} \right) = k \,sin,\frac{C}{2}$ then $tan\, \frac{A}{2} \,tan \, \frac{B}{2}=$
- A
$\frac{{k\,\, - \,\,1}}{{k\,\, + \,\,1}}$
- B
$\frac{{k\,\, + \,\,1}}{{k\,\, - \,\,1}}$
- C
$\frac{k}{{k\,\, + \,\,1}}$
- D
$\frac{{k\,\, + \,\,1}}{k}$
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