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

question 345

Multiple Choice

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) \(\frac { \sqrt { 10 } - 1 } { - 3 }\)

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