October 2007
Beginner
627 pages
15h 41m
English
book
Mastering Technical Mathematics, Third Edition, 3rd Edition
by Stan Gibilisco, Norman H. Crowhurst
Content preview from Mastering Technical Mathematics, Third Edition, 3rd Edition
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| 18 | More about Differentiation |
The previous chapter showed that successive differentiation of sine waves results in the same equation with its starting point shifted. Starting at sin x, successive derivatives are cos x, −sin x, −cos x, sin x, cos x, −sin x,…, cycling through these four over and over. It is particularly easy with x in radians. If the angle is in degrees, it has to be converted into radians for this method to work. Sometimes the quantity is not itself an angle, but is something that trigonometry can represent as an angle.
FREQUENCY AND PERIOD OF A SINE WAVE
Suppose you are analyzing waves and you come across the equation y = sin 2x instead of y = sin x. Now consider this:
If you let y = sin 2x in the last expression above, ...
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