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Simplifying 8sin(6x) + 6cos(6x) = 3 Remove parenthesis around (6x) 8ins * 6x + 6cos(6x) = 3 Reorder the terms for easier multiplication: 8 * 6ins * x + 6cos(6x) = 3 Multiply 8 * 6 48ins * x + 6cos(6x) = 3 Multiply ins * x 48insx + 6cos(6x) = 3 Remove parenthesis around (6x) 48insx + 6cos * 6x = 3 Reorder the terms for easier multiplication: 48insx + 6 * 6cos * x = 3 Multiply 6 * 6 48insx + 36cos * x = 3 Multiply cos * x 48insx + 36cosx = 3 Reorder the terms: 36cosx + 48insx = 3 Solving 36cosx + 48insx = 3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48insx' to each side of the equation. 36cosx + 48insx + -48insx = 3 + -48insx Combine like terms: 48insx + -48insx = 0 36cosx + 0 = 3 + -48insx 36cosx = 3 + -48insx Divide each side by '36osx'. c = 0.08333333333o-1s-1x-1 + -1.333333333ino-1 Simplifying c = 0.08333333333o-1s-1x-1 + -1.333333333ino-1 Reorder the terms: c = -1.333333333ino-1 + 0.08333333333o-1s-1x-1
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