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Simplifying sin(x) + 2cos(x) = 1.414213562 Multiply ins * x insx + 2cos(x) = 1.414213562 Multiply cos * x insx + 2cosx = 1.414213562 Reorder the terms: 2cosx + insx = 1.414213562 Solving 2cosx + insx = 1.414213562 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. 2cosx + insx + -1insx = 1.414213562 + -1insx Combine like terms: insx + -1insx = 0 2cosx + 0 = 1.414213562 + -1insx 2cosx = 1.414213562 + -1insx Divide each side by '2osx'. c = 0.707106781o-1s-1x-1 + -0.5ino-1 Simplifying c = 0.707106781o-1s-1x-1 + -0.5ino-1 Reorder the terms: c = -0.5ino-1 + 0.707106781o-1s-1x-1
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