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Simplifying 80 = 124sin(x) + -6cos(x) Multiply ins * x 80 = 124insx + -6cos(x) Multiply cos * x 80 = 124insx + -6cosx Reorder the terms: 80 = -6cosx + 124insx Solving 80 = -6cosx + 124insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6cosx' to each side of the equation. 80 + 6cosx = -6cosx + 6cosx + 124insx Combine like terms: -6cosx + 6cosx = 0 80 + 6cosx = 0 + 124insx 80 + 6cosx = 124insx Add '-80' to each side of the equation. 80 + -80 + 6cosx = -80 + 124insx Combine like terms: 80 + -80 = 0 0 + 6cosx = -80 + 124insx 6cosx = -80 + 124insx Divide each side by '6osx'. c = -13.33333333o-1s-1x-1 + 20.66666667ino-1 Simplifying c = -13.33333333o-1s-1x-1 + 20.66666667ino-1 Reorder the terms: c = 20.66666667ino-1 + -13.33333333o-1s-1x-1
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