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Simplifying 6cos(x) + -1sin(x) = 3.5 Multiply cos * x 6cosx + -1sin(x) = 3.5 Multiply ins * x 6cosx + -1insx = 3.5 Solving 6cosx + -1insx = 3.5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'insx' to each side of the equation. 6cosx + -1insx + insx = 3.5 + insx Combine like terms: -1insx + insx = 0 6cosx + 0 = 3.5 + insx 6cosx = 3.5 + insx Divide each side by '6osx'. c = 0.5833333333o-1s-1x-1 + 0.1666666667ino-1 Simplifying c = 0.5833333333o-1s-1x-1 + 0.1666666667ino-1 Reorder the terms: c = 0.1666666667ino-1 + 0.5833333333o-1s-1x-1
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