CALCULUS Understanding Its Concepts and Methods

Trigonometric functions

The trigonometric functions are circular functions, because they are defined in terms of a circle. Draw a circle of radius with center at the origin. Draw a line from the origin at an angle to the positive -axis. The line intersects the circle at a point as shown in the following figure:

The trigonometric functions of the angle are defined to be

The derivatives of the trigonometric functions, for measured in radians, are

The inverse trigonometric functions are defined by

.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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.