alt Hacker NewsThere are valid reasons to prefer radians, especially in calculus. The fact that it's related to arc length is something that never (directly) comes up.
There are valid reasons to prefer radians, especially in calculus. The fact that it's related to arc length is something that never (directly) comes up.
Every part of calculus with trig functions relies on this fact! The rate of motion along a circle is approximately linear at the same speed when described in radians.
For example when you do a Taylor series expansion the cos/sin are well approximated by x.