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Use an Inverse Trigonometric Function to Write θ as a Function

Question 42

Multiple Choice

Use an inverse trigonometric function to write θ as a function of x.​  Use an inverse trigonometric function to write θ 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 ​ a=x2−16b=x−4\begin{array} { l } a = x ^ { 2 } - 16 \\b = x - 4\end{array} ​


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

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