SOLUTION: how to graph y=2/3 csc (x- pi/2)?

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Question 563884: how to graph y=2/3 csc (x- pi/2)?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your graph i shown below:

this graph will repeat itself every 2*pi intervals on the x-axis.
this means that:
if you have a value at -pi/2, then you will have the same value at pi/2
if you have a value at -2p, then you will have the same value at 0 and you will have the same value at 2p.
the value of the equation at selected intervals is:
x value         y value
-2pi            -2/3
-pi             +2/3
0               -2/3
pi              +2/3
2pi             -2/3

this graph will have asymptotes at:
x = -3pi/2
x = -pi/2
x = pi/2
x = 3pi/2
these asymptotes are represented by the vertical lines in the following graph of the same equation.

they may not look totally vertical, but they're as vertical as i can make them.