# trig

posted by Anonymous

sin2piex-cos5piex

Is this a sinusoid?

No. because 2 pie x and 5 pie x are not the same/equal.?

1. bobpursley

http://www.wolframalpha.com/input/?i=plot+y%3Dsin(2*PI*x)-cos(5*PI*x)

A sine wave or sinusoid is a mathematical curve that describes a smooth repetitive oscillation. When you add/subtract two sinusoids of differing frequencies, you get a combination wave of two frequencies, the sum, and the difference. In this problem, you see the sum(7PI) and the difference(2PI) added for form a repetitive non-smooth curve.

2. Anonymous

Okay so it is not since it is a non-smooth curve not a smooth curve.

3. Steve

huh? surely it is smooth, as are all sums of sines and cosines.

and it's PI. not PIE! Pie is what you eat.

sin2πx-cos5πx has a period of 2
It is not a simple sine wave, but it is sinusoidal, as shown here:

http://www.wolframalpha.com/input/?i=sin2%CF%80x-cos5%CF%80x

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