Question

MEDAL TO FIRST REPLY TO RANDOM POST!!!!

Answer 1

First reply.

Answer 2

OK, my question was, when do we use radians rather than degrees

Answer 3

radians are very useful in calculus when we take derivatives of trig functions. with radians the derivative is much simpler.
d/dx sin x = cos x

Answer 4

some formulas are simpler when expressed in radians. for example
arclength = radius * angle (in radians)

Answer 5

so, radians make it easier to put an angle measurement into an equation?

Answer 6

some equations become simpler and easier to memorize with radians

Answer 7

ok, thanks a bunch

Answer 8

ok, Thanks so much I've been working on this problem for 30 minutes, you're a lifesaver

Answer 9

Also radians are more natural. Why is a full revolution 360 degrees?
A full revolution has 2pi radians , that makes more sense because the circumference of a circle is 2pi * 1 in a unit circle

Answer 10

Your welcome

Answer 11

a unit circle has radius 1