Given the Function Tan X with Domain $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$

question 75

Multiple Choice

Given the function tan x with domain $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ find the domain of its inverse.

• A) \(\left[ - \frac { \sqrt { 3 } } { 2 } , \frac { \sqrt { 3 } } { 2 } \right]\)
• B)[0, \(\infty\) )
• C)[ \(- \pi , \pi\) ]
• D)[ \(- 1,1\) ]
• E) \(\left[ - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right]\)
• F) \(\left[ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right]\)
• G)( \(- \infty , \infty )\)
• H) \(\left[ - \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right]\)

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