Question

What is inverse of $\sec$?

Answer 1

Inverse of $\sec$:

• The inverse of $\sec$ is denoted by $se{c}^{-1}$.
• The graph of the function of $y=se{c}^{-1}\left(x\right)$$y=se{c}^{-1}\left(x\right)$ is
  
• The domain of the function $y=se{c}^{-1}\left(x\right)$ is $\left(-\infty ,-1\right)\cup \left(1,\infty \right)$.
• The range of the function $y=se{c}^{-1}\left(x\right)$ is $\left[0,\frac{\pi }{2}\right)\cup \left(\frac{\pi }{2},\pi \right]$.