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July 7th, 2019, 02:37 PM  #1 
Newbie Joined: Feb 2019 From: United Kingdom Posts: 28 Thanks: 3  Why radians and not degrees in calculus?
I know it's stating the obvious elephant in the room when it comes to calculus and that you should always use radian measure anytime you use trig'; I've just always accepted it as a rule. But I've never once witnessed someone give a sound geometrical argument why this is so. Could someone give a bit of geometric rigour why we use radians in calculus please. 
July 7th, 2019, 04:28 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,226 Thanks: 908 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
The derivative of sin(x) is $\displaystyle \frac{\pi}{180} \cos(x)$ when x is in degrees. It's just messier with the angles in degrees. Dan Last edited by skipjack; July 7th, 2019 at 06:09 PM.  
July 8th, 2019, 06:40 PM  #3 
Member Joined: Jun 2019 From: USA Posts: 69 Thanks: 27 
Was also touched on in this thread Why angles have units since they are defined by a ratio of distances? 

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calculus, degrees, radians 
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