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Simplifying 4cos(x) + 7sin(x) = 3 Multiply cos * x 4cosx + 7sin(x) = 3 Multiply ins * x 4cosx + 7insx = 3 Solving 4cosx + 7insx = 3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7insx' to each side of the equation. 4cosx + 7insx + -7insx = 3 + -7insx Combine like terms: 7insx + -7insx = 0 4cosx + 0 = 3 + -7insx 4cosx = 3 + -7insx Divide each side by '4osx'. c = 0.75o-1s-1x-1 + -1.75ino-1 Simplifying c = 0.75o-1s-1x-1 + -1.75ino-1 Reorder the terms: c = -1.75ino-1 + 0.75o-1s-1x-1
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