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Simplifying 5cos(x) + -2sin(x) = 2 Multiply cos * x 5cosx + -2sin(x) = 2 Multiply ins * x 5cosx + -2insx = 2 Solving 5cosx + -2insx = 2 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. 5cosx + -2insx + 2insx = 2 + 2insx Combine like terms: -2insx + 2insx = 0 5cosx + 0 = 2 + 2insx 5cosx = 2 + 2insx Divide each side by '5osx'. c = 0.4o-1s-1x-1 + 0.4ino-1 Simplifying c = 0.4o-1s-1x-1 + 0.4ino-1 Reorder the terms: c = 0.4ino-1 + 0.4o-1s-1x-1
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