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Simplifying sin(2x) + cos(2x) = 1 Remove parenthesis around (2x) ins * 2x + cos(2x) = 1 Reorder the terms for easier multiplication: 2ins * x + cos(2x) = 1 Multiply ins * x 2insx + cos(2x) = 1 Remove parenthesis around (2x) 2insx + cos * 2x = 1 Reorder the terms for easier multiplication: 2insx + 2cos * x = 1 Multiply cos * x 2insx + 2cosx = 1 Reorder the terms: 2cosx + 2insx = 1 Solving 2cosx + 2insx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2insx' to each side of the equation. 2cosx + 2insx + -2insx = 1 + -2insx Combine like terms: 2insx + -2insx = 0 2cosx + 0 = 1 + -2insx 2cosx = 1 + -2insx Divide each side by '2osx'. c = 0.5o-1s-1x-1 + -1ino-1 Simplifying c = 0.5o-1s-1x-1 + -1ino-1 Reorder the terms: c = -1ino-1 + 0.5o-1s-1x-1
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