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Simplifying 12cos(x) + -5sin(x) = 13 Multiply cos * x 12cosx + -5sin(x) = 13 Multiply ins * x 12cosx + -5insx = 13 Solving 12cosx + -5insx = 13 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. 12cosx + -5insx + 5insx = 13 + 5insx Combine like terms: -5insx + 5insx = 0 12cosx + 0 = 13 + 5insx 12cosx = 13 + 5insx Divide each side by '12osx'. c = 1.083333333o-1s-1x-1 + 0.4166666667ino-1 Simplifying c = 1.083333333o-1s-1x-1 + 0.4166666667ino-1 Reorder the terms: c = 0.4166666667ino-1 + 1.083333333o-1s-1x-1
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