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Simplifying f(x) = sin(7x) * cos(5x) Multiply f * x fx = sin(7x) * cos(5x) Remove parenthesis around (7x) fx = ins * 7x * cos(5x) Remove parenthesis around (5x) fx = ins * 7x * cos * 5x Reorder the terms for easier multiplication: fx = 7 * 5ins * x * cos * x Multiply 7 * 5 fx = 35ins * x * cos * x Multiply ins * x fx = 35insx * cos * x Multiply insx * cos fx = 35cinos2x * x Multiply cinos2x * x fx = 35cinos2x2 Solving fx = 35cinos2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 35cinos2x Simplifying f = 35cinos2x
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