
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
July 7th, 2019, 02:37 PM  #1 
Member Joined: Feb 2019 From: United Kingdom Posts: 44 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: 2,265 Thanks: 932 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 
Senior Member Joined: Jun 2019 From: USA Posts: 177 Thanks: 69 
Was also touched on in this thread Why angles have units since they are defined by a ratio of distances? 

Tags 
calculus, degrees, radians 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Degrees to Radians to Gradians  HawkI  Trigonometry  30  July 19th, 2015 04:47 AM 
Convert Radians to Degrees  davidf  Geometry  4  September 12th, 2014 02:38 PM 
Degrees and Radians  not3bad  Algebra  4  October 3rd, 2013 10:43 PM 
Converting radians to degrees  hemidol  Algebra  1  April 8th, 2012 07:19 PM 
Degrees and Radians  axelle  Algebra  7  October 22nd, 2007 01:48 PM 