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 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 xy-graph, then find the functions, then use integrals to approach the answer. I want some opinions on this.
September 16th, 2007, 06:33 AM   #2
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Re: Pythagorean Theorem

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 Originally Posted by johnny Q. Using calculus, prove that Pythagorean theorem works. I was wondering if I draw an right triangle on a xy-graph, then find the functions, then use integrals to approach the answer. I want some opinions on this.
That's surely the intended method of proof.

 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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