September 15th, 2007, 08:15 PM  #1 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0  Pythagorean Theorem
Q. Using calculus, prove that Pythagorean theorem works. I was wondering if I draw an right triangle on a xygraph, then find the functions, then use integrals to approach the answer. I want some opinions on this. 
September 16th, 2007, 06:33 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Pythagorean Theorem Quote:
 
September 17th, 2007, 12:45 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 21,038 Thanks: 2274 
I don't see how that would work. Let y = cos²(x) + sin²(x), then dy/dx = 0, so y is a constant. When x = 0, y = 1, so cos²(x) + sin²(x) = 1 for all x, which is just Pythagoras's theorem in trigonometric terms. 

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