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Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) tan(x) - cot(x) = sec(x)(2 sin(x) - csc(x)) tan(x) - cot(x) = sin(x) _cos(x) cos (x) sin(x) sin2(x) - cos2(x) = sin (x ) ( cos (x) ( sin 2(x) + sin2(x)) - 1 = 2 sin (x) - 1 S X 2 sin (x) - 1 1 = cos(X) sin (x) 2 sin (x) = cos (X) sin(x) sin (x) = sec(x) (2 sin(x) - csc(x))