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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.
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Convert negative 72 degrees to radian measure?
-1.257 radian
Define Radian measure of an angle?
radian = 180/2pi degrees
How can the radian measure of an angle determine the arc length on the unit circle?
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
What is the radian measure for 180 degrees?
pi
What is 75 degree measure converted to radian?
1.3089969
Convert negative 72 degrees to radian measure?
-1.257 radian
Define Radian measure of an angle?
radian = 180/2pi degrees
How can the radian measure of an angle determine the arc length on the unit circle?
The radian measure IS the arc length of the unit circle, by definition - that is how the radian is defined in the first place.
Is a degree or a radian the larger unit of measure?
One radian is equal to roughly 57 degrees!
The difference between radian measure and degree measure?
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.
What is the unit to measure an angle called?
A radian.
What is the radian measure for 180 degrees?
pi
What is the disadvantage of radian measure?
Some less able students are not at ease when working with irrational numbers. Overall, though, the advantages far outweigh that prejudice/disadvantage.
Convert from radian measure to degree measure -7é 2?
j
Radian measure of 120 degree angle?
2.094
What is 75 degree measure converted to radian?
1.3089969
What is a radian fundamentally made of?
It is a measure of the extent of angular displacement - a measure of an angle.
