Question

Consult three books on calculus and write down the

definition in each of $y=se{c}^{-1}x$and $y=\cos e{c}^{-1}x$. Compare

these with the definitions given in this book.

Short answer

Both are continous function.

Step-by-step solution

Step 1. Given Information

$$\begin{gathered} y=se{c}^{-1}x \\ and \\ y=\cos e{c}^{-1}x \end{gathered}$$

Step 2. Explanation

$$\begin{gathered} y=se{c}^{-1}x \\ Acontinousfunctionwhere\left|x\right|\ge 1and0\le y<\frac{\mathrm{\pi }}{2},\frac{\mathrm{\pi }}{2}\le y<\frac{3\mathrm{\pi }}{2} \\ y=\cos e{c}^{-1}x \\ Acontinousfunctionwhere\left|x\right|\ge 1and-\mathrm{\pi }<\mathrm{y}\le -\frac{\mathrm{\pi }}{2},0<\mathrm{y}\le \frac{\mathrm{\pi }}{2} \end{gathered}$$