# Why differentiation and integration is impossible with angle expressed in degrees?

• Oct 14th 2008, 06:20 AM
Why differentiation and integration is impossible with angle expressed in degrees?
Why is differentiation and integration impossible with the angle expressed in degrees? Why the angle have to be expressed in radians?
• Oct 14th 2008, 06:29 AM
mr fantastic
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Why is differentiation and integration impossible with the angle expressed in degrees? Why the angle have to be expressed in radians?

Why do you think it's impossible? It's not.
• Oct 14th 2008, 06:37 AM
Quote:

Originally Posted by mr fantastic
Why do you think it's impossible? It's not.

Why do then the calculators have to be fed with angles in radians in order to calculate the differentiation and integration results properly?
• Oct 14th 2008, 06:39 AM
mr fantastic
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Why do then the calculators have to be fed with angles in radians in order to calculate the differentiation and integration results properly?

They don't.
• Oct 14th 2008, 06:49 AM
Quote:

Originally Posted by mr fantastic
They don't.

But they do display certain evidences that suggest they have gone berserk when I the angles are in degrees.:D
• Oct 14th 2008, 07:01 AM
Plato
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Why is differentiation and integration impossible with the angle expressed in degrees? Why the angle have to be expressed in radians?

Radians are real numbers. I am not sure what a degree is.
One radian is the measure of any central angle of a circle that subtends an arc of length equal to the radius of the circle.
• Oct 14th 2008, 09:14 AM
Quote:

Originally Posted by Plato
Radians are real numbers. I am not sure what a degree is.
One radian is the measure of any central angle of a circle that subtends an arc of length equal to the radius of the circle.

I know the definition of radian. But that does not help much.
I found the explanation in wikipedia
Somebody out there must understand the stuff better, all it succeded to do was leaving my eyes sore. :D
But I really wanna understand...
Why is the derivative of sin(x) only cos(x) when x is measured in radians? Algebra man 18:56, 18 March 2007 (UTC)