There are many; for example,
sin(x) = x - x^3/3! + x^5/5^ - x^7/7! ...
cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...
are valid only when angles are measured in radians.
The derivatives of trigonometric functions
d/dx sin(x) = cos(x),
d/dx cos(x) = -sin(x) as well as the derivatives of other trigonometric ratios are valid (in relatively simple forms) only if defined in radians. The same applies to integrals of these functions.
Wiki User
∙ 8y ago-1.257 radian
radian = 180/2pi degrees
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
pi
1.3089969
-1.257 radian
radian = 180/2pi degrees
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
One radian is equal to roughly 57 degrees!
Some less able students are not at ease when working with irrational numbers. Overall, though, the advantages far outweigh that prejudice/disadvantage.
Degree measure is based off of a division of 360 degrees in a circle. Radian measure is based off of a division of 2PI in a full circle.
A radian.
pi
j
It is a measure of the extent of angular displacement - a measure of an angle.
Degrees = (180/pi)*Radians
2.094