Convert the Expression $$\sec \frac { b } { 2 }$$

Convert the expression.​ $$\sec \frac { b } { 2 }$$ ​

A) ​ $\pm \sqrt { \frac { 2 \tan b } { \tan b + \sin b } }$
B) ​ $\pm \sqrt { \frac { 2 \tan b } { \tan b + \csc b } }$
C) ​ $\pm \sqrt { \frac { \tan b } { \tan b - \sin b } }$ ​
D) ​ $\pm \sqrt { \frac { \tan b } { \tan b + \sin b } }$
E) ​ $\pm \sqrt { \frac { 2 \tan b } { \tan b - \sin b } }$

Correct Answer:

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