LESSON NOTES MENU
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:

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

Examples:
Determine Angles of Rotation
Determine if Two Angles Are Coterminal
Determine a Coterminal Angle Between 0 and 360 Degrees
Determine Positive and Negative Coterminal Angles

Animation: The Sum of the Interior Angles of a Triangle
Mini-lesson: Angle Relationships and Types of Triangles