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

Overview

To date we have only measured angles in degrees, but today we will introduce a new angle measure called radian measure. It is based on irrational number pi (π) rather than the number 360. Notation caution: Radians don't (usually) have a symbol indicating radian measure, so leaving the degree mark off looks like radians! For example, tan(45) means the tangent of 45 radians. To indicate the tangent of 45 degrees you must write tan(45°). tan(45)≠tan(45°) ... check this electronically noting that the tan(45) must be evaluated in radian mode and tan(45°) must be evaluated in degree mode so set your device/software accordingly.

Objectives

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

• 3.2.1 Convert degrees radians (algebraically and electronically)
• 3.2.2 Common angles in radians (memorize pi/6=30^o, pi/4=45^o, etc.)
• 3.2.3 Evaluate trigonometric functions having inputs that are angles in radian measure (algebraically and electronically)

Terminology

Terms you should be able to define: pi (pi), radian, unitless measure

Mini-Lectures and Examples

Supplementary Resources (recommended)