Question 1040234
*[illustration d78dc34540.png].<pre>
[The leftmost x-coordinate is {{{-3pi/2}}} and the rightmost
x-coordinate is {{{3pi/2}}}.  They are partly cut off in
the picture above.]


The period of a function is the distance along the x-axis
from the beginning of a figure until it starts repeating 
same figure

The round hump figure starts at {{{-3pi/2}}} and ends (and
starts over at {{{-pi}}}. That's a distance along the x-axis
of {{{-pi-(-3pi/2)}}} = {{{-pi+3pi/2}}} = {{{-2pi/2+3pi/2}}} = {{{pi/2}}}
So its period is {{{pi/2}}}.

You can always get the period by subtracting the x-coordinate
at the beginning of any repeating figure from the x-coordinate
at the end of the repeating figure.

You could also get the period from the beginning and end of the
second round hump figure:

{{{-pi/2-(-pi)}}} = {{{-pi/2+pi}}} = {{{-pi/2+2pi/2}}} = {{{pi/2}}}

or from the beginning and end of the third hump:

{{{0-(-pi/2)}}} = {{{0+pi/2}}} = {{{pi/2}}}

or from the fourth hump

{{{pi/2-0}}} = {{{pi/2}}}   <--the easiest way to find the period!

or the fifth or sixth hump.

Edwin</pre></b>