Use an Inverse Trigonometric Function to Write $\theta$ As a Function of X

Multiple Choice

Use an inverse trigonometric function to write $\theta$ as a function of x. $\begin{array} { l } a = x ^ { 2 } - 16 \\b = x - 4\end{array}$

A) $\theta = \arcsin \frac { 1 } { x + 4 } , x \neq 4$
B) $\theta = \arctan \frac { 1 } { x - 4 } , x \neq 4$
C) $\theta = \arctan \frac { 1 } { x + 4 } , x \neq 4$
D) $\theta = \arccos \frac { 1 } { x + 4 } , x \neq 4$
E) $\theta = \operatorname { arccot } \frac { 1 } { x + 4 } , x \neq 4$