Module 6 - Modeling Periodic Behavior

Converting Angles

100

210° 

7pi/6

200

pi/2

90° 

300

3pi/4

135° 

400

330° 

11pi/6

500

35pi/18

350° 

Reference Angles

100

150° 

30° 

200

pi/3

60° 

300

225° 

45° 

400

405° 

45

500

-pi/6

30° 

Graphing

100

The Amplitude of y=3sin(2x)+ 5

3

200

The midline of y=sin(4x)-1

y=-1

300

The amplitude of y=-2sin(x)+1

2

400

The Period of y=3sin(2x)+5

pi

500

The Period of y=sin(4x)-1

pi/2

Finding Exact Values

100

Cos90° 

0

200

Sin(pi/6)

1/2

300

Cos(2pi/3)

-1/2

400

Sin315° 

negative root two over two

500

Cos(5pi/6)

negative root three over two

Finding Exact values from point on a Circle

100

The radius of (3,4)

5

200

The radius of (1,2)

The square root of 5 

300

Given the point (3,4). The value of sin θ

4/5

400

Given the point (3,4). The value of cos θ

3/5

500

Given the point (3,4). The value of tan θ

4/3