Derivative of sin x and cos x | MIT Highlights of Calculus

Derivative of sin x and cos x
Instructor: Gilbert Strang
http://ocw.mit.edu/highlights-of-calculus

The two key functions of oscillation have specially neat derivatives: The slope of sin x is cos x ! And the slope of cos x is - sin x.

These come from one crucial fact: (sin x) / x approaches 1 at x = 0. This checks that the slope of sin x is cos 0 = 1 at the all-important point x = 0.

Professor Strang connects sine and cosine to moving around a circle,
or up and down for a spring, or in and out for your lungs.

Subtitles are provided through the generous assistance of Jimmy Ren.

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Subtitles are provided through the generous assistance of Jimmy Ren.

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