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Simplifying 3sin(x) + -5cos(x) = 3 Multiply ins * x 3insx + -5cos(x) = 3 Multiply cos * x 3insx + -5cosx = 3 Reorder the terms: -5cosx + 3insx = 3 Solving -5cosx + 3insx = 3 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. -5cosx + 3insx + -3insx = 3 + -3insx Combine like terms: 3insx + -3insx = 0 -5cosx + 0 = 3 + -3insx -5cosx = 3 + -3insx Divide each side by '-5osx'. c = -0.6o-1s-1x-1 + 0.6ino-1 Simplifying c = -0.6o-1s-1x-1 + 0.6ino-1 Reorder the terms: c = 0.6ino-1 + -0.6o-1s-1x-1
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