document.write( "Question 446174: why the period of sin(x) is 0 to 2pi not -pi to +pi?? \n" ); document.write( "
Algebra.Com's Answer #307238 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First, radian measure of angles
\n" ); document.write( "compared to degree is:\r
\n" ); document.write( "\n" ); document.write( "radians --- degrees
\n" ); document.write( "-------------------
\n" ); document.write( "0 ------------ 0
\n" ); document.write( "pi/2 --------- 90
\n" ); document.write( "pi ----------- 180
\n" ); document.write( "3pi/2 -------- 270
\n" ); document.write( "2pi ---------- 360, 0
\n" ); document.write( "---------------------------
\n" ); document.write( "A definition of period would be:
\n" ); document.write( "\"What is the shortest span of radians
\n" ); document.write( "for which the waveform keeps repeating
\n" ); document.write( "itself ?\"
\n" ); document.write( "----------------------------
\n" ); document.write( "You are correct in saying that the
\n" ); document.write( "sin wave keeps repeating itself if
\n" ); document.write( "you take -pi to +pi as your sample,
\n" ); document.write( "but if you measure the wavelength,
\n" ); document.write( "\"+pi+-+%28-pi%29++=+2pi+\" You get
\n" ); document.write( "the same answer. Any sample of the
\n" ); document.write( "wave that is 2pi radians long gives
\n" ); document.write( "you a repeating portion.
\n" ); document.write( "----------------------------
\n" ); document.write( "Hope this helps
\n" ); document.write( "
\n" ); document.write( "
\n" );