ANSWERS

1. 2.

Solve:

3.

1: 7(6) 3xgraph y

.02

log 4 log14 0x

log(5 3) 2x

19.4

PREPRELesson 5.1 The Unit Circle

Objectives:•To fill in the circle with degrees and radians.•To find terminal points on the unit circle.

Trig Vocabulary

What is the circumferenceOf a circle with a radius of 1?

2C r2C

1r 2

2

32

4

3

2

1

4

4

3

4

3

4

5

4 5

4

7

47

4

These are called Radians:

2

2

3

2

4

3

4

5

4

7

4

Trig Vocabulary

What would be the degrees of these measures?

2

2

3

2

4

3

4

5

4

7

4

,360

,45,90

135 ,

180 ,

225 , ,270 ,315

RELATIONSHIP BETWEEN DEGREES AND RADIANS

To convert degrees to radians,

multiply by

To convert radians to degrees,

multiply by

180 radians 1801 radian

1180

radians

180

180

1) 30

3) 120

2)3

54)

6

180

6

180

60

180

2

3

180

150

5) 210

7) 300

46)

3

118)

6

180

7

6

180

240

180

5

3

180

330

What will be the value measure of these?

2

2

3

2

1

6

6

2

6

3

2

3

5

6

7

6

4

3

5

3

11

6

What will be the degree measure of these?

2

2

3

2

6

3

2

3

5

6

7

6

4

3

5

3

11

6

180 ,

,90

,360

,270

,30

,60120 ,

150 ,

210 ,

240 ,,300

,330

We define cos as the 'x' coordinate.We define sin as the 'y' coordinate.

( , )x y

Constructing Sine:Cosine:Tangent:

,454

Constructing Sine, Cosine, Tangent:

1radius

1

2 2 2a b c 2 2 1a b

45

a

ba

22 1a 2 1

2a

2

2a

Constructing Sine, Cosine, Tangent:

1

45

2

2

2

2

sin 2

2

cos 2

2

tan 1

What is the coordinate for this point?2

,2

2

2

2

2

2

245

Chapter 5

Quiz

will be on this:

Classwork: Worksheet: 5.1 Unit Circle Worksheet