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Simplifying sin(5x) + cos(5x) = 1 Remove parenthesis around (5x) ins * 5x + cos(5x) = 1 Reorder the terms for easier multiplication: 5ins * x + cos(5x) = 1 Multiply ins * x 5insx + cos(5x) = 1 Remove parenthesis around (5x) 5insx + cos * 5x = 1 Reorder the terms for easier multiplication: 5insx + 5cos * x = 1 Multiply cos * x 5insx + 5cosx = 1 Reorder the terms: 5cosx + 5insx = 1 Solving 5cosx + 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. 5cosx + 5insx + -5insx = 1 + -5insx Combine like terms: 5insx + -5insx = 0 5cosx + 0 = 1 + -5insx 5cosx = 1 + -5insx Divide each side by '5osx'. c = 0.2o-1s-1x-1 + -1ino-1 Simplifying c = 0.2o-1s-1x-1 + -1ino-1 Reorder the terms: c = -1ino-1 + 0.2o-1s-1x-1
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