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Simplifying cos(60 + 3x) = cos(3x + 30) (60 * cos + 3x * cos) = cos(3x + 30) (60cos + 3cosx) = cos(3x + 30) Reorder the terms: 60cos + 3cosx = cos(30 + 3x) 60cos + 3cosx = (30 * cos + 3x * cos) 60cos + 3cosx = (30cos + 3cosx) Add '-3cosx' to each side of the equation. 60cos + 3cosx + -3cosx = 30cos + 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 60cos + 0 = 30cos + 3cosx + -3cosx 60cos = 30cos + 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 60cos = 30cos + 0 60cos = 30cos Solving 60cos = 30cos Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30cos' to each side of the equation. 60cos + -30cos = 30cos + -30cos Combine like terms: 60cos + -30cos = 30cos 30cos = 30cos + -30cos Combine like terms: 30cos + -30cos = 0 30cos = 0 Divide each side by '30'. cos = 0.0 Simplifying cos = 0.0 The solution to this equation could not be determined.
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