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Simplifying 4cosx + 5sinx = 6 Solving 4cosx + 5insx = 6 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5insx' to each side of the equation. 4cosx + 5insx + -5insx = 6 + -5insx Combine like terms: 5insx + -5insx = 0 4cosx + 0 = 6 + -5insx 4cosx = 6 + -5insx Divide each side by '4osx'. c = 1.5o-1s-1x-1 + -1.25ino-1 Simplifying c = 1.5o-1s-1x-1 + -1.25ino-1 Reorder the terms: c = -1.25ino-1 + 1.5o-1s-1x-1
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