Calculus, 8th Edition,stewart; page 92 problem 33

Question

Locate the discontinuities of the function and illustrate by graphing.

y = 1/(1 + sin x)

Answer 1

Step:1

The function is .

The function is discontinuous when .

The general solution is , where 

If  then .

If  then .

If  then .

If  then .

The function is discontinuous at .

Step:2

Graph :

Graph the function  :

Observe the graph.

The function is discontinuous at .

Solution:

The function is discontinuous at .

Graph of the function  is

.