I'm having trouble proving this. Any help is appreciated.
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1 + cot^2(x) = csc^2(x)
sin^2(x) - 1 = -(1-sin^2(x)) = -cos^2(x)
csc^2(x) * -cos^2(x) = -cos^2(x)/sin^2(x) = -cot^2(x)
sin^2(x) - 1 = -(1-sin^2(x)) = -cos^2(x)
csc^2(x) * -cos^2(x) = -cos^2(x)/sin^2(x) = -cot^2(x)