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)![]() ![]() 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( " \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( " |