Determine All Solutions of the Equation in Radians $\tan \frac { x } { 2 }$

Determine all solutions of the equation in radians.
-Find $\tan \frac { x } { 2 }$ , given that $\tan x = - 3$ and $x$ terminates in $90 ^ { \circ } < x < 180 ^ { \circ }$ .

A) $\frac { \sqrt { 10 } + 1 } { - 3 }$
B) $\frac { \sqrt { 10 } + 1 } { 3 }$
C) $\frac { \sqrt { 10 } - 1 } { 3 }$
D) $\frac { \sqrt { 10 } - 1 } { - 3 }$

Correct Answer:

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