Use an Inverse Function to Write θ as a Function $\theta = \tan ^ { - 1 } \left( \frac { 1 } { x - 1 } \right)$

Multiple Choice

Use an inverse function to write θ as a function of x.

A) ​ $\theta = \tan ^ { - 1 } \left( \frac { 1 } { x - 1 } \right)$
B) $\theta = \tan ^ { - 1 } \left( \frac { x - 1 } { x + 1 } \right)$
C) $\theta = \tan ^ { - 1 } ( x + 1 )$
D) $\theta = \tan ^ { - 1 } \left( \frac { 1 } { x ^ { 2 } + 1 } \right)$
E) $\theta = \tan ^ { - 1 } \left( \frac { 1 } { x + 1 } \right)$