Radians to Degrees
Convert 5π/3 Radians to degrees
300 degrees
5π/3 X 180/π = 300
Convert the angle theta=180 to radians.
1 π
π/180
Find the reference angle for 120 degrees
60
120 is in quadrant II
reference angle = 180 - 120 = 60
Convert Pie/6 Radians to degrees
30 degrees
π/6 x (180/π)
Convert 30 degrees to radians
π/6 radians
π/180
Find the reference angle for 210
30
210 is in quadrant III
reference angle = 210 - 180 = 30
Convert 3pie/4 radians to degrees
135 degrees
3π/4 x 180/π
Convert 120 degrees to radians
2π/3 radians
π/180
Find the reference angle for -135
45
first add 360 to make it positive
-135 + 360 = 225 which is in quadrant III
225 - 180 = 45
Convert 5π/3 radians to degrees
300 degrees
5π/3 = π/180
convert 225 degrees to radians
5π/4 radians
π/180
Find the reference angle for -340
20
-340 + 360 = 20
20 is already in quadrant I so the reference angle is 20
Convert -7Pie/4 radians
-315 degrees
-7π/4 X 180/π =
convert -330 degrees to radians
-11π/6 radians
π/180
Find the reference angle for 750
30
we have to subract by 360 until we get a number between 0-360
750-360=390
390-360 = 30
30 is in quadrant I so the reference angle is 30