The Derivative of the Sine



Introduction

The applet and the left side figure show

The large circle is the unit circle. The red line segment has the length sin(x+h)-sin x. Observe the change of the red segment using the applet and consider what is the relation between the angle x and the length of the red segment.

If the small circle is the unit circle, what dose the red line segment correspond to?


Applet



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