Where does the pythagorean identity sin^2 + cos^2=1 come from? How does it relate to right triangles?

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2016-04-11 02:02:08

consider a right triangle with hypotenuse of 1. sin x means to divide the side in front of the angle by hypotenuse cos x means to divide the side beside the angle by hypotenuse we know that a^2+b^2=c^2 now divide two sides by c^2 [latex] frac{ a^{2} }{ c^{2} }+ frac{ b^{2} }{ c^{2} }=1[/latex] c is 1 also a/c means sinx and b/c is cos x so sin^2(x)+cos^2(x)=1

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