Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
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
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
Sequences and Infinite Series Power Series Vectors and Geometry of Space Vector-Valued Functions
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
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. Be sure to memorize the circle diagram which indicates all the "special angles" at 30°, 45°, 60°, 90°, etc.

Objectives

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

• 1.1.1 Solve problems using the "180° in a triangle" theorem
• 1.1.2 Solve problems using the Pythagorean theorem
• 1.1.3 Recognize and use the two "special" triangles (45°-45°-90° and 30°-60°-90°)
• 1.1.4 Recognize and use Pythagorean triples
• 1.1.5 Know the circle diagram and what it means for an angle to be in "standard position" on the circle diagram
• 1.1.6 Know the difference among positive angles, negative angles, and quadrantal angles
• 1.1.7 Find angles coterminal to a given angle

Terminology

Define: degree, right angle, straight angle, acute angle, obtuse angle, complimentary angles, supplementary angles, coterminal angles, quadrantal angles, right triangle, acute triangle, obtuse triangle, equilateral triangle, equiangular triangle, isosceles triangle, theorem

Memorize the relationship of the sides on the two "special" triangles:

Supplementary Resources

Reading What is Trigonometry? and What is Trigonometry All About? are recommended.

The following links are for optional exploration. Information on Pythagoras, the Pythagorean Theorem, and Pythagorean Triples:
Biography of Pythagoras of Samos
Proof of the Pythagorean Theorem
History of the Pythagorean Theorem
Common Pythagorean Triples (scroll down for chart/list)
Pythagorean Triples Calculator (applet from Cut-The-Knot)

Supplemental Resources (optional)

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