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Simplifying cos(2x + 60) = 2 Reorder the terms: cos(60 + 2x) = 2 (60 * cos + 2x * cos) = 2 (60cos + 2cosx) = 2 Solving 60cos + 2cosx = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -2 + 60cos + 2cosx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 60cos + 2cosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 30cos + cosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 30cos + cosx)' equal to zero and attempt to solve: Simplifying -1 + 30cos + cosx = 0 Solving -1 + 30cos + cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 30cos + 1 + cosx = 0 + 1 Reorder the terms: -1 + 1 + 30cos + cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 30cos + cosx = 0 + 1 30cos + cosx = 0 + 1 Combine like terms: 0 + 1 = 1 30cos + cosx = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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