The distinction between the definitions of reference angle and coterminal angle may often be perplexing. Remember that these are not the same - the reference angle is the angle between the angle's terminal side and the x-axis, and it is always between 0 and 90 degrees (or 0 and -2 degrees).

### 5Pi Over 12 In Degrees

These calculations are also a primer for this problem's extended version. Given an angle on the unit circle (theta), what are the coordinates of the point that corresponds to the angle? This is a very tough issue, and finding a general solution is challenging.This is a truly difficult problem, and finding a general solution is challenging. Therefore, the two functions sine and cosine exist in contemporary mathematics to solve this issue. Sine returns the vertical component and cosine returns the horizontal component of the point on the unit circle that corresponds to the supplied angle. Read further

Use this simple calculator to get the exact number of degrees in any roof pitch, stair stringer, or other slope standard or metric. Enter the roof pitch values in inches per foot of increase. Then, pick a fraction if one exists.For instance, a roof pitch of 12/12 would be entered as 12 inches of rise per foot with no fraction, and the resulting number would be 45. Surprisingly, when a pitch of 6 inches per foot is specified, the degrees produced are not 22.5 but 26.6. In addition, the answer is 14 if a pitch of 3 inches per foot is used. That is just impossible. Obtaining a correct result using trigonometric functions requires three stages.

1 radian = 1 radian * (1 degree / 0.01745329 radians) = 57.29578 degrees The conversion ratio from radians to degrees is now 1 * 57.29578 = 57.29578. These figures include rounding errors.Knowing that 1 radian equals 57.29578 degrees, we can now get the conversion factor for converting backwards. When both sides of the equation are divided by 57.29578, the result is about 0.01745329 radians = 1 degree. Therefore, the conversion factor needed to convert degrees to radians is about 0.01745329.