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# Chapter 3 Radian Measure and Circular Functions

By Sylvia Ward,2014-08-09 00:20
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Chapter 3 Radian Measure and Circular Functions

Chapter 3, Section 3.1 Radian Measure

There are several different ways to measure angles, just as there are different ways to measure length. One way to measure angles is in radians, and it is

; The measure of a central angle θ that intercepts

an arc s equal in length to the radius r of the

circle.

s

r

What is the radian measure of the entire unit circle?

180

180

Conversion:

180

1. Multiply a radian measure by and simplify to

convert to degrees.

2. Multiply a degree measure by and simplify

180

Example: Convert each degree measure to radian.

a. 45 b. 30 c. 210

d. 720 e. 249.8 f. 5340’

Example: Convert each radian measure to degrees.

92

b. c. a.

452

3

d. e. 4.25 f. -3.2

2

Finding Function Values for Angles in Radians

Example: Find each of the following functions:

2π4π

a. tan = ________ b. csc = __________

33

3ππ，(，(c. cot= ________ d. sin;= ________ ;！；！；

43，，，，

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