Warm Up

1) Find an angle between 0° and 360° that is coterminal with 1190°.

2) Convert 45 degrees to radians.

Answer

Find an angle between 0° and 360° that is coterminal with 1190°.

18

11110

(1,0)

(0,1)

(0,-1)

(-1,0)

This circles has a radius of 1.

We call this the unit

circle because

the radius is one unit.

(1,0)

(0,1)

(0,-1)

(-1,0)

Use SOH CAH TOA to figure out the coordinate of the point below, knowing that the radius of the circle is 1.

30°

Now, find the coordinates of the following two points.

45° 60°

Now that we know the points

for one quarter of the Unit Circle,

we can label the remainder of the

unit circle.

Here is the unit circle divided into 8 pieces. Can you figure out how many degrees are in each division?

45°

2

2,

2

290°

1,0

0°

135°

2

2,

2

2

180° 0,1

225°

270°315°

2

2,

2

2

2

2,

2

2

0,1

1,0

Can you figure out what these angles would be in radians?

45°

2

2,

2

290°

1,0

0°

135°

2

2,

2

2

180° 0,1

225°

270°315°

2

2,

2

2

2

2,

2

2

0,14

2

4

3

4

5

2

34

7

1,0

Here is the unit circle divided into 12 pieces. Can you figure out how many degrees are in each division?

30°

2

1,

2

3

90°

1,0

0°

120°

180° 0,1210°

270°

330°

0,1

60°150°

240°300°

2

3,2

1

2

3,2

1

2

3,2

1

2

1,

2

3

2

1,

2

3

2

1,

2

3

2

3,2

1

1,0

Can you figure out what the angles would be in radians?

30°

30°

2

1,

2

3

90°

1,0

0°

120°

180° 0,1210°

270°

330°

0,1

60°150°

240°300°

2

3,2

1

2

3,2

1

2

3,2

1

2

1,

2

3

2

1,

2

3

2

1,

2

3

2

3,2

1

6

1,0

HomeworkMemorize the unit circle! You will need to

because these angles are commonly used in math!

You will be quizzed three times. Each quiz will be 10 minutes long. When you get an A, you will stop quizzing. If you don’t get an A after Thursday, you will keep your highest grade.