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Unformatted text preview: namely 2. To see why, note that since | sin | 1 for all , we have | 2 sin ( x 2 ) | = | 2 | | sin ( x 2 ) | 2 1 = 2 . In the exercises you will be asked to nd values of x such that 2 sin ( x 2 ) reaches the maximum value 2 and the minimum value 2. Thus, the amplitude is indeed 2. Note: This curve is still sinusoidal despite not being periodic, since the general shape is still that of a sine wave, albeit one with variable cycles . So far in our examples we have been able to determine the amplitudes of sinusoidal curves fairly easily. This will not always be the case. 2 This graph was created using Gnuplot, an open-source graphing program which is freely available at http:// gnuplot.info . See Appendix B for a brief tutorial on how to use Gnuplot....
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- Fall '11