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Simplifying 4cos(x) + 3sin(x) = -2 Multiply cos * x 4cosx + 3sin(x) = -2 Multiply ins * x 4cosx + 3insx = -2 Solving 4cosx + 3insx = -2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3insx' to each side of the equation. 4cosx + 3insx + -3insx = -2 + -3insx Combine like terms: 3insx + -3insx = 0 4cosx + 0 = -2 + -3insx 4cosx = -2 + -3insx Divide each side by '4osx'. c = -0.5o-1s-1x-1 + -0.75ino-1 Simplifying c = -0.5o-1s-1x-1 + -0.75ino-1 Reorder the terms: c = -0.75ino-1 + -0.5o-1s-1x-1
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