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Simplifying 3sin(x) + 25cos(x) = 18 Multiply ins * x 3insx + 25cos(x) = 18 Multiply cos * x 3insx + 25cosx = 18 Reorder the terms: 25cosx + 3insx = 18 Solving 25cosx + 3insx = 18 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. 25cosx + 3insx + -3insx = 18 + -3insx Combine like terms: 3insx + -3insx = 0 25cosx + 0 = 18 + -3insx 25cosx = 18 + -3insx Divide each side by '25osx'. c = 0.72o-1s-1x-1 + -0.12ino-1 Simplifying c = 0.72o-1s-1x-1 + -0.12ino-1 Reorder the terms: c = -0.12ino-1 + 0.72o-1s-1x-1
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