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How do you simplify ##(1-cos^2x)/sinx##?

    Use ##cos^2 x + sin^2 x = 1## to find:

    ##(1-cos^2 x)/(sin x) = sin x##

    Since ##cos^2 x + sin^2 x = 1##, we find:

    ##(1-cos^2 x)/(sin x) = (sin^2 x)/(sin x) = sin x##