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Simplifying 4cos(x + -30) + 3sin(x) = 5 Reorder the terms: 4cos(-30 + x) + 3sin(x) = 5 (-30 * 4cos + x * 4cos) + 3sin(x) = 5 (-120cos + 4cosx) + 3sin(x) = 5 Multiply ins * x -120cos + 4cosx + 3insx = 5 Solving -120cos + 4cosx + 3insx = 5 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. -120cos + 4cosx + 3insx + -3insx = 5 + -3insx Combine like terms: 3insx + -3insx = 0 -120cos + 4cosx + 0 = 5 + -3insx -120cos + 4cosx = 5 + -3insx Reorder the terms: -5 + -120cos + 4cosx + 3insx = 5 + -3insx + -5 + 3insx Reorder the terms: -5 + -120cos + 4cosx + 3insx = 5 + -5 + -3insx + 3insx Combine like terms: 5 + -5 = 0 -5 + -120cos + 4cosx + 3insx = 0 + -3insx + 3insx -5 + -120cos + 4cosx + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 -5 + -120cos + 4cosx + 3insx = 0 The solution to this equation could not be determined.
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