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Simplifying cos(x) + -3sin(x) = 1 Multiply cos * x cosx + -3sin(x) = 1 Multiply ins * x cosx + -3insx = 1 Solving cosx + -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. cosx + -3insx + 3insx = 1 + 3insx Combine like terms: -3insx + 3insx = 0 cosx + 0 = 1 + 3insx cosx = 1 + 3insx Divide each side by 'osx'. c = o-1s-1x-1 + 3ino-1 Simplifying c = o-1s-1x-1 + 3ino-1 Reorder the terms: c = 3ino-1 + o-1s-1x-1
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