SOLUTION: why the period of sin(x) is 0 to 2pi not -pi to +pi??

Question 446174: why the period of sin(x) is 0 to 2pi not -pi to +pi??
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First, radian measure of angles
compared to degree is:
radians --- degrees
-------------------
0 ------------ 0
pi/2 --------- 90
pi ----------- 180
3pi/2 -------- 270
2pi ---------- 360, 0
---------------------------
A definition of period would be:
"What is the shortest span of radians
for which the waveform keeps repeating
itself ?"
----------------------------
You are correct in saying that the
sin wave keeps repeating itself if
you take -pi to +pi as your sample,
but if you measure the wavelength,
You get
the same answer. Any sample of the
wave that is 2pi radians long gives
you a repeating portion.
----------------------------
Hope this helps

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