I need to know the Radian Measure, Reference angle in degrees and reference angle in Radians for the following: 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360
Just some examples of some of those would be great. Thanks
2007-06-11 10:50:21 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x degres = pi*x/180 radians.
30= pi/6, 45=pi/4, 60 = pi/3, 90 = pi/2, 120 = 2pi/3, etc.
The reference angle is the angle that the terminal side of the angle makes with the x-axis. So for 120 degrees, the reference angle is 180-120 = 60 degrees = pi/3.
This should give you the info you need to solve the rest of your problem.
2007-06-11 11:02:36 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
To convert degrees to radians, just multiply by pi/180.
To find the reference angle, take the measure between the angle and the x-axis. So for angles between 0 and 90, it will be the angle itself; for angles between 90 and 270 it will be the positive difference from 180, and for angles between 270 and 360 it will be its difference from 360. Though 90, 180, and 270 stay as themselves.,
2007-06-11 17:53:25 · answer #2 · answered by Anonymous · 1⤊ 0⤋
Ï radians = 180 degrees
Make the conversions from that.
2007-06-11 17:53:00 · answer #3 · answered by Dr D 7 · 1⤊ 0⤋