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Simplifying 1 = cos(7.75x + -120) Reorder the terms: 1 = cos(-120 + 7.75x) 1 = (-120 * cos + 7.75x * cos) 1 = (-120cos + 7.75cosx) Solving 1 = -120cos + 7.75cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '120cos' to each side of the equation. 1 + 120cos = -120cos + 120cos + 7.75cosx Combine like terms: -120cos + 120cos = 0 1 + 120cos = 0 + 7.75cosx 1 + 120cos = 7.75cosx Add '-7.75cosx' to each side of the equation. 1 + 120cos + -7.75cosx = 7.75cosx + -7.75cosx Combine like terms: 7.75cosx + -7.75cosx = 0.00 1 + 120cos + -7.75cosx = 0.00 Add '-1' to each side of the equation. 1 + 120cos + -1 + -7.75cosx = 0.00 + -1 Reorder the terms: 1 + -1 + 120cos + -7.75cosx = 0.00 + -1 Combine like terms: 1 + -1 = 0 0 + 120cos + -7.75cosx = 0.00 + -1 120cos + -7.75cosx = 0.00 + -1 Combine like terms: 0.00 + -1 = -1 120cos + -7.75cosx = -1 Reorder the terms: 1 + 120cos + -7.75cosx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 120cos + -7.75cosx = 0 The solution to this equation could not be determined.
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