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Simplifying 3 = 5sin(x + 20) + cos(2x + 40) Reorder the terms: 3 = 5ins(20 + x) + cos(2x + 40) 3 = (20 * 5ins + x * 5ins) + cos(2x + 40) 3 = (100ins + 5insx) + cos(2x + 40) Reorder the terms: 3 = 100ins + 5insx + cos(40 + 2x) 3 = 100ins + 5insx + (40 * cos + 2x * cos) 3 = 100ins + 5insx + (40cos + 2cosx) Reorder the terms: 3 = 40cos + 2cosx + 100ins + 5insx Solving 3 = 40cos + 2cosx + 100ins + 5insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40cos' to each side of the equation. 3 + -40cos = 40cos + 2cosx + 100ins + -40cos + 5insx Reorder the terms: 3 + -40cos = 40cos + -40cos + 2cosx + 100ins + 5insx Combine like terms: 40cos + -40cos = 0 3 + -40cos = 0 + 2cosx + 100ins + 5insx 3 + -40cos = 2cosx + 100ins + 5insx Add '-2cosx' to each side of the equation. 3 + -40cos + -2cosx = 2cosx + 100ins + -2cosx + 5insx Reorder the terms: 3 + -40cos + -2cosx = 2cosx + -2cosx + 100ins + 5insx Combine like terms: 2cosx + -2cosx = 0 3 + -40cos + -2cosx = 0 + 100ins + 5insx 3 + -40cos + -2cosx = 100ins + 5insx Add '-3' to each side of the equation. 3 + -40cos + -3 + -2cosx = 100ins + -3 + 5insx Reorder the terms: 3 + -3 + -40cos + -2cosx = 100ins + -3 + 5insx Combine like terms: 3 + -3 = 0 0 + -40cos + -2cosx = 100ins + -3 + 5insx -40cos + -2cosx = 100ins + -3 + 5insx Reorder the terms: -40cos + -2cosx = -3 + 100ins + 5insx Reorder the terms: 3 + -40cos + -2cosx + -100ins + -5insx = -3 + 100ins + 5insx + 3 + -100ins + -5insx Reorder the terms: 3 + -40cos + -2cosx + -100ins + -5insx = -3 + 3 + 100ins + -100ins + 5insx + -5insx Combine like terms: -3 + 3 = 0 3 + -40cos + -2cosx + -100ins + -5insx = 0 + 100ins + -100ins + 5insx + -5insx 3 + -40cos + -2cosx + -100ins + -5insx = 100ins + -100ins + 5insx + -5insx Combine like terms: 100ins + -100ins = 0 3 + -40cos + -2cosx + -100ins + -5insx = 0 + 5insx + -5insx 3 + -40cos + -2cosx + -100ins + -5insx = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 3 + -40cos + -2cosx + -100ins + -5insx = 0 The solution to this equation could not be determined.
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