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