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

2880°

500

Convert 19π/6 radians to degrees

*Answer must be from 0-360 degrees

210° 

Unit Circle (Degrees)

100

sin 150

1/2

200

cos 270

0

300

tan 210

sqrt3/3

400

tan 480

-√3

500

cos 420

1/2

Unit Circle (Radians)

100

sin 4π/3

-√3/2

200

cos 5π/6

-√3/2

300

tan 11π/6

-sqrt3/3

400

sin(18/6pi)

0

500

tan ((-5pi)/3)

sqrt3

Terminal Angle

100

The Coterminal angle of 390^o is

30^o

200

The Coterminal angle of 870^o is

150°

300

What is the reference angle for 

(9pi)/4

pi/4

400

The coterminal angle in radians

(-pi)/6

(11pi)/6

500

The coterminal angle -480^o is 

240^o 

Quadrant?

100

What two quadrants is tangent positive?

One and Three

200

What quadrant is cosine positive and sine is negative?

4

300

What quadrant is cotangent negative and cosecant is positive?

4

400

What quadrant is 

(10pi)/3 

located

3

500

If cos (x)= -12/13 and sine is negative, what is tan (x)?

5/12

ArcLenth & Radian

100

Find the arc length cut off  by a 4pi/3 radian and radius 4in

16.76 in

200

Find the arc length cut off  by a 45 degree angle  and diameter of 20 m

7.85 m

300

An arc length of 100 m subtends ( forms) a central angle in a circle of radius 50 m.  Find the central angle in radian measure and degree. 

2 rad  and 114.6degree

400

Find the diameter of a circle if an arc  of length of 6 m

subtends an central angle of pi/6

11.46 m

500

The wheels of a car have a diameter of 22in and rotate at 600 rpm. Find the speed in miles per hour.

39.27 mph