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Simplifying sinx + 3cosx + 1 = 0 Reorder the terms: 1 + 3cosx + insx = 0 Solving 1 + 3cosx + insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3cosx + -1 + insx = 0 + -1 Reorder the terms: 1 + -1 + 3cosx + insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3cosx + insx = 0 + -1 3cosx + insx = 0 + -1 Combine like terms: 0 + -1 = -1 3cosx + insx = -1 Add '-1insx' to each side of the equation. 3cosx + insx + -1insx = -1 + -1insx Combine like terms: insx + -1insx = 0 3cosx + 0 = -1 + -1insx 3cosx = -1 + -1insx Divide each side by '3osx'. c = -0.3333333333o-1s-1x-1 + -0.3333333333ino-1 Simplifying c = -0.3333333333o-1s-1x-1 + -0.3333333333ino-1 Reorder the terms: c = -0.3333333333ino-1 + -0.3333333333o-1s-1x-1
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