Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

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:

• 3.3.1 Know all angles in the unit circle (degrees and radians)
• 3.3.2 Know the all the (x,y) coordinates in the unit circle
• 3.3.3 Evaluate trig functions using the unit circle
• 3.3.4 Evaluate inverse trig functions using the unit circle

Terminology

Terms you should be able to define: unit circle

Mini-Lectures and Examples

STUDY: The 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.

If you have an iPhone then download the free Trigo - Trig Bingo app to practice unit circle values.

Print this blank Unit Circle and see if you can fill-it out from memory. Great self-check :)

Supplemental Resources (optional)

rev. 2020-10-10