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Simplifying sin(x) + 5cos(x) = 4 Multiply ins * x insx + 5cos(x) = 4 Multiply cos * x insx + 5cosx = 4 Reorder the terms: 5cosx + insx = 4 Solving 5cosx + insx = 4 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. 5cosx + insx + -1insx = 4 + -1insx Combine like terms: insx + -1insx = 0 5cosx + 0 = 4 + -1insx 5cosx = 4 + -1insx Divide each side by '5osx'. c = 0.8o-1s-1x-1 + -0.2ino-1 Simplifying c = 0.8o-1s-1x-1 + -0.2ino-1 Reorder the terms: c = -0.2ino-1 + 0.8o-1s-1x-1
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