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Simplifying cos(8x) + sin(5x) = 1 Remove parenthesis around (8x) cos * 8x + sin(5x) = 1 Reorder the terms for easier multiplication: 8cos * x + sin(5x) = 1 Multiply cos * x 8cosx + sin(5x) = 1 Remove parenthesis around (5x) 8cosx + ins * 5x = 1 Reorder the terms for easier multiplication: 8cosx + 5ins * x = 1 Multiply ins * x 8cosx + 5insx = 1 Solving 8cosx + 5insx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. 8cosx + 5insx + -5insx = 1 + -5insx Combine like terms: 5insx + -5insx = 0 8cosx + 0 = 1 + -5insx 8cosx = 1 + -5insx Divide each side by '8osx'. c = 0.125o-1s-1x-1 + -0.625ino-1 Simplifying c = 0.125o-1s-1x-1 + -0.625ino-1 Reorder the terms: c = -0.625ino-1 + 0.125o-1s-1x-1
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