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#1 2007-01-18 22:40:41

Toast
Real Member
Registered: 2006-10-08
Posts: 1,321

Proving the Pythagorean Identity

I checked on Wikipedia but all they gave was:

So:

But I don't see how the right side relates to 1?

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#2 2007-01-18 23:49:39

Dross
Member
Registered: 2006-08-24
Posts: 325

Re: Proving the Pythagorean Identity

take h, a and b to be the hypotenuse and the oposite two sides of a right-angled triangle.

Then:

Edit: Now all that's left to do is prove the trigonometric identity used without using pythagoras' theorem!

Last edited by Dross (2007-01-18 23:52:14)


Bad speling makes me [sic]

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#3 2007-01-19 04:04:59

LQ
Real Member
Registered: 2006-12-04
Posts: 1,285

Re: Proving the Pythagorean Identity

That is perfectly plausible.


I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy...

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#4 2007-01-19 04:19:52

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: Proving the Pythagorean Identity

theres many proofs of phythagoras's theorem that dont realy on trigometric functions, just search google for 'proof for pythagoras' theorem' theres many geometric proofs


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#5 2007-01-21 06:06:37

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Proving the Pythagorean Identity

My favourite geometric proof is the one that involves a square and four triangles making up a bigger square.


Why did the vector cross the road?
It wanted to be normal.

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