# KIM MALTMAN'S MINI-COURSE ON TRIG BASICS

## CHAPTER 1, SECTION D: "MULTIPLE-VALUEDNESS" OF ANGULAR MEASURE

OVERVIEW:

This section of Chapter 1

• discusses why it is there is more than one angle for each physical direction in the xy-plane (in fact, for each direction there is actually an infinite number of different angles that can be used to describe it!); and

• shows you how to tell, based on the underlying geometrical meaning of angular measure, whether, given two different angles, they correspond to the same direction or to different directions in the plane.

A list of the background material needed to follow the contents of this section is given below. If you are unfamiliar with one of the background topics, or feel you would like to review it, click on the relevant link.

If you are already familar with this background information, you can proceed directly to the contents of the current section of the course by clicking HERE.

For this section of the course you should be familiar with

• the motivation for using numbers (angles) to specify directions in the plane (reviewable by reading (or re-reading) Section (a), of Chapter 1 of the course);

• the geometrical meaning of angles and angular measure, as well as the basic conventions used in assigning an angle to a given direction in the plane (reviewable by reading (or re-reading) Section (b), of Chapter 1 of the course); and

• the use of either radian or degree units for measuring angles (reviewable by reading (or re-reading) Section (c), of Chapter 1 of the course).

CLICK HERE TO PROCEED TO THE CONTENTS OF THIS SECTION OF THE COURSE

CLICK HERE FOR TO SEE THE ANSWERS TO THE EXERCISES FOR ALL SECTIONS OF CHAPTER 1 INCLUDING THIS SECTION