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Simplifying f(x) = tan(2x) * cot(2x) Multiply f * x fx = tan(2x) * cot(2x) Remove parenthesis around (2x) fx = ant * 2x * cot(2x) Remove parenthesis around (2x) fx = ant * 2x * cot * 2x Reorder the terms for easier multiplication: fx = 2 * 2ant * x * cot * x Multiply 2 * 2 fx = 4ant * x * cot * x Multiply ant * x fx = 4antx * cot * x Multiply antx * cot fx = 4acnot2x * x Multiply acnot2x * x fx = 4acnot2x2 Solving fx = 4acnot2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4acnot2x Simplifying f = 4acnot2x
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