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September 15th, 2007, 08:15 PM   #1
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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.
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September 16th, 2007, 06:33 AM   #2
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Re: Pythagorean Theorem

Quote:
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.
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September 17th, 2007, 12:45 PM   #3
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I don't see how that would work.

Let y = cos(x) + sin(x), then dy/dx = 0, so y is a constant.
When x = 0, y = 1, so cos(x) + sin(x) = 1 for all x, which is just Pythagoras's theorem in trigonometric terms.
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