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Simplifying 3sin(x) + -1cos(x) = 4 Multiply ins * x 3insx + -1cos(x) = 4 Multiply cos * x 3insx + -1cosx = 4 Reorder the terms: -1cosx + 3insx = 4 Solving -1cosx + 3insx = 4 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. -1cosx + 3insx + -3insx = 4 + -3insx Combine like terms: 3insx + -3insx = 0 -1cosx + 0 = 4 + -3insx -1cosx = 4 + -3insx Divide each side by '-1osx'. c = -4o-1s-1x-1 + 3ino-1 Simplifying c = -4o-1s-1x-1 + 3ino-1 Reorder the terms: c = 3ino-1 + -4o-1s-1x-1
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