You can put this solution on YOUR website! ((sinx+cosx)/((tan^2(x))-1))=((cos^2(x)/(sin(x)-cos(x)
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You didn't say what you want to do.
I'll solve for x, but it might be an identity.
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(sinx+cosx)/((tan^2(x))-1)) = cos^2(x)/(sin(x)-cos(x))
Multiply by sin - cos
(sin^2(x) - cos^2(x))/((tan^2(x))-1)) = cos^2(x)
Multiply by tan^2 - 1
sin^2 - cos^2 = sin^2 - cos^2
It's an identity