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Simplifying 3cos(x) + 4sin(x) = 2 Multiply cos * x 3cosx + 4sin(x) = 2 Multiply ins * x 3cosx + 4insx = 2 Solving 3cosx + 4insx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. 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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