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Simplifying 3cos(x) + 4sin(x) + 2 = 0 Multiply cos * x 3cosx + 4sin(x) + 2 = 0 Multiply ins * x 3cosx + 4insx + 2 = 0 Reorder the terms: 2 + 3cosx + 4insx = 0 Solving 2 + 3cosx + 4insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3cosx + -2 + 4insx = 0 + -2 Reorder the terms: 2 + -2 + 3cosx + 4insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3cosx + 4insx = 0 + -2 3cosx + 4insx = 0 + -2 Combine like terms: 0 + -2 = -2 3cosx + 4insx = -2 Add '-4insx' to each side of the equation. 3cosx + 4insx + -4insx = -2 + -4insx Combine like terms: 4insx + -4insx = 0 3cosx + 0 = -2 + -4insx 3cosx = -2 + -4insx Divide each side by '3osx'. c = -0.6666666667o-1s-1x-1 + -1.333333333ino-1 Simplifying c = -0.6666666667o-1s-1x-1 + -1.333333333ino-1 Reorder the terms: c = -1.333333333ino-1 + -0.6666666667o-1s-1x-1
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