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Chapter 6: Q. 16 (page 419)

For what numbers x,-2蟺鈮�x鈮�2蟺,does the graph ofy=cotx have vertical asymptotes?

Short Answer

Expert verified

The graph ofy=cotxhave vertical asymptotes at-2蟺,-蟺,0,蟺,2蟺where-2蟺鈮�x鈮�2蟺.

Step by step solution

01

Step 1. Given Information

The given function isy=cotx.

We have to find the vertical asymptotes at-2蟺鈮�x鈮�2蟺.

02

Step 2. Finding the numbers 

For the function, y=cotxvertical asymptotes occur at 0,n蟺.

So, for -2蟺鈮�x鈮�2蟺the vertical asymptotes occur at-2蟺,-蟺,0,蟺,2蟺.

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