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: The Six Trigonometric Functions
Subtopic: Angles

Overview

We start the course with some basic terminology and geometry primarily related to angles and triangles. Much of this you likely know from a previous geometry course so concentrate on the content that is new to you. Being familiar with all the terminology and diagrams will establish a strong foundation to the course.

Objectives

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

• 1.1.1 There are 360° in a circle, 60 minutes in each degree, 60 seconds in each minute
• 1.1.3 Convert DMS harr decimal degrees algebraically
• 1.1.4 The circle diagram and what it means for an angle to be in "standard position" on the circle diagram
• 1.1.5 The difference among positive angles, negative angles, and quadrantal angles
• 1.1.6 Find angle complementary of supplementary to a given angle
• 1.1.7 Find angles coterminal to a given angle

Terminology

Terms you should be able to define: degree, minute and second (in terms of angles not time), DMS measure, decimal degree measure, right angle, straight angle, acute angle, obtuse angle, complementary angles, supplementary angles, coterminal angles, quadrantal angles

Be familiar with the circle diagram which indicates all the "nice angles" at 30°, 45°, 60°, 90°, etc.

Mini-Lectures and Examples

Supplementary Resources (recommended)

Watch Trigonometry, part of a BBC show for a very brief entertaining introduction to Trig.

Reading What is Trigonometry? and What is Trigonometry All About? are both recommended to get the "big picture" of this course and how Trig is used in real world applications.

Know how to write at least the first 5 letters of the Greek alphabet.

Supplemental Resources (optional)

Skimming History of Trigonometry Outline provides a brief overview of some of the theorems and characters involved in the development of Trigonometry.

Videos from James Sousa's MathIsPower4U:

Mini-Lesson: Angle Basics
Animation: Types of Angles
Mini-Lesson: Angles in Standard Position
Animation:  Angles in Standard Position

rev. 2021-04-05