The Unit Circle Review

Conversions

100

Convert 200 degrees to radians

(10pi)/9 radians

200

Convert 50 degrees to radians

(5pi)/18 radians

300

Convert

pi/12

 radians to degrees

15°

400

Convert 16 radians to degrees

916.73°

or 

2880/pi

500

Convert to degrees (rounded to the nearest 10th)

(37pi)/7

951.4 degrees

Unit Circle (Degrees)

100

sin 150

1/2

200

cos 270

0

300

tan 210

sqrt3/3

400

tan 480

-√3

500

sec 420

2

Unit Circle (Radians)

100

sin 4π/3

-√3/2

200

cos 5π/6

-√3/2

300

tan 11π/6

-sqrt3/3

400

cos((-2pi)/3)

-1/2

500

csc((7pi)/6)

-2

Reference Angles

100

What is the reference angle of 30 degrees?

30 degrees

200

What is the reference angle for 315 degrees?

45 degrees

300

What is the reference angle for 

(7pi)/4

pi/4

400

What is the reference angle for 

(17pi)/6

pi/6

500

What is the reference angle of -480 degrees?

60 degrees

Misc.

100

What two quadrants is tangent positive?

Quadrants 1 and 3

200

What quadrant is cosine positive and sine is negative?

4

300

What is the coterminal angle between 0 and 360 degrees of -522 degrees?

198 degrees

400

This person has a dog named Ginger.

Sydney

500

This person loves to fix computers and is a cat person

Junaid