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Simplifying 2cos(x) + -3sin(x) = 1 Multiply cos * x 2cosx + -3sin(x) = 1 Multiply ins * x 2cosx + -3insx = 1 Solving 2cosx + -3insx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3insx' to each side of the equation. 2cosx + -3insx + 3insx = 1 + 3insx Combine like terms: -3insx + 3insx = 0 2cosx + 0 = 1 + 3insx 2cosx = 1 + 3insx Divide each side by '2osx'. c = 0.5o-1s-1x-1 + 1.5ino-1 Simplifying c = 0.5o-1s-1x-1 + 1.5ino-1 Reorder the terms: c = 1.5ino-1 + 0.5o-1s-1x-1
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