For what numbers x, -2π ≤ x ≤ 2π, does the graph of y = csc(x) have vertical asymptotes?

for what numbers x, -2π ≤ x ≤ 2π, does the graph of y = cot(x) have vertical asymptotes?

Vertical asymptotes at   x = {-2π, -π, 0, π, 2π}

Given:  

To find : For what values of x , it has vertical asymptotes.

Explanation:

A given function will have vertical asymptotes when its denominator becomes equal to zero.

We know that,    

So,    will give vertical asymptotes

       x = {-2π, -π, 0, π, 2π}

Learn more:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.