<![CDATA[Math Is Fun Forum / shinking sine]]>2006-03-03T20:37:56ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=3036<![CDATA[Re: shinking sine]]>, which is TRUE]]>http://www.mathisfunforum.com/profile.php?id=21282006-03-03T20:37:56Zhttp://www.mathisfunforum.com/viewtopic.php?pid=29906#p29906<![CDATA[Re: shinking sine]]>Also if you square a sine or cosine wave that is shifted up or down any amount, then the resulting shape is no longer a sine or cosine wave shape, it is misshapen. I plotted a lot of examples to see this. Also, the power reduction formula for sine and cosine say that the square of a sinewave is still a sinewave, but shifted in x and y, and half the size. One source says: (sin x)^2 = (1 - cos (2x))/2]]>http://www.mathisfunforum.com/profile.php?id=11082006-03-03T20:19:36Zhttp://www.mathisfunforum.com/viewtopic.php?pid=29897#p29897<![CDATA[Re: shinking sine]]>Oh yes, an amplitude of 2 which is a sine wave that varies from 2 to -2 in its height. The two will square to 4, and the negative part of the wave will become positive, so the amplitude will be 2 again because it varies from 0 to 4 now, instead of -2 to 2.]]>http://www.mathisfunforum.com/profile.php?id=11082006-03-03T18:15:37Zhttp://www.mathisfunforum.com/viewtopic.php?pid=29864#p29864<![CDATA[shinking sine]]>A typical sine wave will shink by 2 in x and y dimensions if squared. See diagram. But if the sine wave was a certain amplitude before it was squared it would get bigger. So there should exist an amplitude of a sine wave that when squared, stays the same amplitude. However, the wavelength will always continue to be halved.]]>http://www.mathisfunforum.com/profile.php?id=11082006-03-03T17:45:17Zhttp://www.mathisfunforum.com/viewtopic.php?pid=29856#p29856