What is the simplified value of 1 + cot A cot

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What is the simplified value of 1 + cot A cot $(\frac{A}{2})$ ?

[SSC CPO 3 July 2017 Afternoon Shift With Answers]

A cos (A2)\ (\frac{A}{2}) (2A?)

B sin2(A2)sin^{2}(\frac{A}{2})sin2(2A?),

C 12cosec2(A2)\frac{1}{2}cosec^{2}(\frac{A}{2})21?cosec2(2A?),

D cos A,