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Table of Contents
Radians and Degrees
Definitions
Standard Position
An angle is in standard position if the initial side of the angle is on the x-axis between the 1st and 4th quarter.
Positive Angle
An angle that extends counterclockwise1).
Negative Angle
An angle that extends clockwise.
Coterminal Angle
Equivalent angle that has a different numerical value. Add or subtract $360$ for degrees and $2\pi$ for radians to get a coterminal angle.
Degrees
Don't be lazy and add atleast a basic definition of degrees.
Radians
A radian is a measurable length where the radius of a circle equals to an arc length section of the circle. $r = s$ where $r$ is the radius and $s$ is the arc length segment.
Converting Rad to Deg and vice versa
The conversion is $\pi = 180$ degrees. Degree to Radian: $d * \frac{\pi}{180} = r$ Radian to Degree: $r * \frac{180}{\pi} = d$
1)
a common misconception is that angles are positive when rotated clockwise, the standard in mathematics is the opposite
