1

8-18-14

T1.1d To Find Coterminal Angles

in Degrees and Radians

What do you call a midget psychic on the run from the police?

A small medium at large!!

2

Convert to degrees:

8

5

13

3

288

780

Convert to π radians (keep in rational form):

180

13

3

GCF? 60°

1

180

8*180 / 5

3

Active Learning Assignment Questions?

4

LESSON:

Angles are COTERMINAL if they share the same initial and terminal sides, but with a different number of rotations (forwards or backwards).

(A rotation is 360° for degrees and 2π for radians.)

5

Looking down at a merry go round, my nephew is 33° away from the ticket booth.

Ticket booth

Nephew

When it goes around the first time, how many degrees will he have gone from the ticket booth?

I

IVIII

II

33°

33°

+360°

393°

6

Find two coterminal angles, one positive and one negative, to the given angle.

178

Pos:

Neg:

I

IVIII

II

178°

+360°

538°

178°

-360°

-182°

0°

7

Find two coterminal angles, one positive and one negative, to the given angle.

1024.48

Pos:

Neg:

I

IVIII

II

1384.48° or 664.48° or 304.48°

-55.52°

0°

8

Find two coterminal angles, one positive and one negative, to the given angle.

Pos:

Neg:

582 I

IVIII

II

-582°

– 360°

-942°

or

-582°

+360°

-222°

-582° +360° +360°

138°

0°

9

Find two coterminal angles, one positive and one negative, to the given angle. If you are given a problem in π radians,

the answer should be in π radians. Remember this for the test!

2

3

Pos:

Neg:

I

IVIII

II

0

2 2

3 1

3

3

2 6

3 3

8

3

2 6

3 3

4

3

2

10

Find two coterminal angles, one positive and one negative, to the given angle.

2

7

Pos:

Neg:

I

IVIII

II

2 14

7 7

12

7

2 14

7 7

16

7

0

11

Active Learning Assignment:

P. 262: 17 (a-b), 18 (a-b), 19a, 21a

TEST ON THIS CHAPTER ON THURSDAY, 8/21

PICK UP A SHEET AT THE FRONT (THE REVIEW.)

PLEASE GO AHEAD AND WRITE YOUR ASSIGNMENT DOWN.