Converting between Degrees and Radians
Reference angles
Unit Circle (Degrees)
Unit Circle (Radians)
Find the Coordinate
100

45°

π/4

100

What is the reference angle of -240 degrees?

60 degrees

100

sin 150

1/2

100

sin 4π/3

-√3/2

100

In the second quadrant, you have a point (-√11/6, y).  Solve for y

5/6

200

2π/3

120°

200

What is the reference angle for 241 degrees?

61 degrees

200

cos 240

-1/2

200

cos 5π/6

-√3/2

200

In the fourth quadrant, you have a point (x, -3/7).  Solve for x

2√10/7

300

690°

23π/6

300

What is the reference angle for 98 degrees?

82 degrees

300

cos 420

1/2

300

tan 11π/6

-1/√3

300

In the fourth quadrant, you have a point (x, -6/7).  Solve for x

√13/7

400

19π/6

570°

400

If cos is positive AND the reference angle is 20 degrees, give all angles in degrees and radians in the standard unit circle.

20 degrees, π/9

340 degrees, 17π/9

400

tan 210

√3/3

400

sin 18π/6

-1

400

In the second quadrant, you have a point (x, 1/3).  Solve for x

-2√2/3

500

4π/3

240°

500

If tan is negative AND the reference angle is 80 degrees, give all angles in degrees and radians in the standard unit circle.

100, 5π/9


280, 14π/9

500

tan 480

-√3

500
tan -5π/3

1/√3

500

In the third quadrant, you have a point (-√13/7, y).  Solve for y

-6/7

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