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Simplifying 5cos(x) + 2sin(x) = 3 Multiply cos * x 5cosx + 2sin(x) = 3 Multiply ins * x 5cosx + 2insx = 3 Solving 5cosx + 2insx = 3 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 = 3 + -2insx Combine like terms: 2insx + -2insx = 0 5cosx + 0 = 3 + -2insx 5cosx = 3 + -2insx Divide each side by '5osx'. c = 0.6o-1s-1x-1 + -0.4ino-1 Simplifying c = 0.6o-1s-1x-1 + -0.4ino-1 Reorder the terms: c = -0.4ino-1 + 0.6o-1s-1x-1
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