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Simplifying 3cosx + 5sinx = 8 Solving 3cosx + 5insx = 8 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. 3cosx + 5insx + -5insx = 8 + -5insx Combine like terms: 5insx + -5insx = 0 3cosx + 0 = 8 + -5insx 3cosx = 8 + -5insx Divide each side by '3osx'. c = 2.666666667o-1s-1x-1 + -1.666666667ino-1 Simplifying c = 2.666666667o-1s-1x-1 + -1.666666667ino-1 Reorder the terms: c = -1.666666667ino-1 + 2.666666667o-1s-1x-1
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