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