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Simplifying 7cos(6x) + -7sin(12x) = 0 Remove parenthesis around (6x) 7cos * 6x + -7sin(12x) = 0 Reorder the terms for easier multiplication: 7 * 6cos * x + -7sin(12x) = 0 Multiply 7 * 6 42cos * x + -7sin(12x) = 0 Multiply cos * x 42cosx + -7sin(12x) = 0 Remove parenthesis around (12x) 42cosx + -7ins * 12x = 0 Reorder the terms for easier multiplication: 42cosx + -7 * 12ins * x = 0 Multiply -7 * 12 42cosx + -84ins * x = 0 Multiply ins * x 42cosx + -84insx = 0 Solving 42cosx + -84insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '84insx' to each side of the equation. 42cosx + -84insx + 84insx = 0 + 84insx Combine like terms: -84insx + 84insx = 0 42cosx + 0 = 0 + 84insx 42cosx = 0 + 84insx Remove the zero: 42cosx = 84insx Divide each side by '42osx'. c = 2ino-1 Simplifying c = 2ino-1
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