$\left( {\frac{{\sin 2A}}{{1 + \cos 2A}}} \right)\,\left( {\frac{{\cos A}}{{1 + \cos A}}} \right)= $
$\left( {\frac{{\sin 2A}}{{1 + \cos 2A}}} \right)\,\left( {\frac{{\cos A}}{{1 + \cos A}}} \right)= $
- A
$\tan \frac{A}{2}$
- B
$\cot \frac{A}{2}$
- C
$\sec \frac{A}{2}$
- D
${\rm{cosec}}\frac{A}{2}$
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- [IIT 1982]
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