Chapter 13.5, Problem 12OE

To determine

The value of x for which the function is not determined.

Explanation of Solution

Given information:

The given function is $\csc x$

Calculations:

Here the given function is $\csc x$ .

Now,

  $\begin{array}{l}\csc x=\frac{1}{\sin x}\\ \text{If the value of sin }x\text{ is zero, then the value of }\csc x\text{ can not be determined}\text{.}\\ \text{If,}\\ \sin x=0,\\ x={\sin }^{-1}0\\ x=0°=\frac{180}{180}\pi =\pi \end{array}$