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Simplifying 0.4 = 0.3cos(x) + -1sin(x) Multiply cos * x 0.4 = 0.3cosx + -1sin(x) Multiply ins * x 0.4 = 0.3cosx + -1insx Solving 0.4 = 0.3cosx + -1insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.3cosx' to each side of the equation. 0.4 + -0.3cosx = 0.3cosx + -0.3cosx + -1insx Combine like terms: 0.3cosx + -0.3cosx = 0.0 0.4 + -0.3cosx = 0.0 + -1insx 0.4 + -0.3cosx = -1insx Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.3cosx = -0.4 + -1insx Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.3cosx = -0.4 + -1insx -0.3cosx = -0.4 + -1insx Divide each side by '-0.3osx'. c = 1.333333333o-1s-1x-1 + 3.333333333ino-1 Simplifying c = 1.333333333o-1s-1x-1 + 3.333333333ino-1 Reorder the terms: c = 3.333333333ino-1 + 1.333333333o-1s-1x-1
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