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Simplifying sin(4x) + cos(5x) = 1 Remove parenthesis around (4x) ins * 4x + cos(5x) = 1 Reorder the terms for easier multiplication: 4ins * x + cos(5x) = 1 Multiply ins * x 4insx + cos(5x) = 1 Remove parenthesis around (5x) 4insx + cos * 5x = 1 Reorder the terms for easier multiplication: 4insx + 5cos * x = 1 Multiply cos * x 4insx + 5cosx = 1 Reorder the terms: 5cosx + 4insx = 1 Solving 5cosx + 4insx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4insx' to each side of the equation. 5cosx + 4insx + -4insx = 1 + -4insx Combine like terms: 4insx + -4insx = 0 5cosx + 0 = 1 + -4insx 5cosx = 1 + -4insx Divide each side by '5osx'. c = 0.2o-1s-1x-1 + -0.8ino-1 Simplifying c = 0.2o-1s-1x-1 + -0.8ino-1 Reorder the terms: c = -0.8ino-1 + 0.2o-1s-1x-1
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