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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Trigonometry
Topic: Circular Functions
Subtopic: The Unit Circle

Overview

The unit circle developed in this section is probably the most widely useful item in all of trigonometry. It provides an easy way to know the trig functions of all the "nice" angles from 0° to 360°. It will be used throughout the rest of this class, calculus, and differential equations. The Unit Circle - understand it, memorize it, use it!

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: unit circle

Supplementary Resources (recommended)

Download/Print: THE UNIT CIRCLE

You must MEMORIZE the unit circle and NOT refer to it during a test!

Below are some sites that may help you to memorize the Unit Circle. A variety of "tricks" are included. Hopefully one "clicks" with you!

Supplemental Resources (optional)

Videos: Example:  Determine the Quadrant of the Terminal Side of An Angle Given Trig Function Signs

Determine Trigonometric Function Values using the Unit Circle
Properties of Trig Functions:  Domain, Range, and Sign in each Quadrant
Examples:  Determine Exact Trig Function Values With the Angle in Radians Using the Unit Circle
Example:  Determine the Domain of the Secant and Cosecant Functions Using the Unit Circle