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Simplifying sin(2x) * cos(5x) = 0.5(sin(7x) + sin(3x)) Remove parenthesis around (2x) ins * 2x * cos(5x) = 0.5(sin(7x) + sin(3x)) Remove parenthesis around (5x) ins * 2x * cos * 5x = 0.5(sin(7x) + sin(3x)) Reorder the terms for easier multiplication: 2 * 5ins * x * cos * x = 0.5(sin(7x) + sin(3x)) Multiply 2 * 5 10ins * x * cos * x = 0.5(sin(7x) + sin(3x)) Multiply ins * x 10insx * cos * x = 0.5(sin(7x) + sin(3x)) Multiply insx * cos 10cinos2x * x = 0.5(sin(7x) + sin(3x)) Multiply cinos2x * x 10cinos2x2 = 0.5(sin(7x) + sin(3x)) Remove parenthesis around (7x) 10cinos2x2 = 0.5(ins * 7x + sin(3x)) Reorder the terms for easier multiplication: 10cinos2x2 = 0.5(7ins * x + sin(3x)) Multiply ins * x 10cinos2x2 = 0.5(7insx + sin(3x)) Remove parenthesis around (3x) 10cinos2x2 = 0.5(7insx + ins * 3x) Reorder the terms for easier multiplication: 10cinos2x2 = 0.5(7insx + 3ins * x) Multiply ins * x 10cinos2x2 = 0.5(7insx + 3insx) Combine like terms: 7insx + 3insx = 10insx 10cinos2x2 = 0.5(10insx) Remove parenthesis around (10insx) 10cinos2x2 = 0.5 * 10insx Multiply 0.5 * 10 10cinos2x2 = 5insx Solving 10cinos2x2 = 5insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '10inos2x2'. c = 0.5o-1s-1x-1 Simplifying c = 0.5o-1s-1x-1
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