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Trigonometric functions

The trigonometric functions are circular functions, because they are defined in terms of a circle. Draw a circle of radius $1$ with center at the origin. Draw a line from the origin at an angle $\theta $ to the positive $x$-axis. The line intersects the circle at a point $\left( x,y\right) $ as shown in the following figure:MATH

The trigonometric functions of the angle $\theta $ are defined to beMATH

The derivatives of the trigonometric functions, for $\theta $ measured in radians, areMATH

The inverse trigonometric functions are defined byMATH

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Cosine function
Sine function

Tangent function


Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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