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Simplifying 4sin(x) + -3cos(x) = 2 Multiply ins * x 4insx + -3cos(x) = 2 Multiply cos * x 4insx + -3cosx = 2 Reorder the terms: -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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