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Simplifying cos(3x) = cos(42) Remove parenthesis around (3x) cos * 3x = cos(42) Reorder the terms for easier multiplication: 3cos * x = cos(42) Multiply cos * x 3cosx = cos(42) Reorder the terms for easier multiplication: 3cosx = 42cos Solving 3cosx = 42cos Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42cos' to each side of the equation. -42cos + 3cosx = 42cos + -42cos Combine like terms: 42cos + -42cos = 0 -42cos + 3cosx = 0 Factor out the Greatest Common Factor (GCF), '3cos'. 3cos(-14 + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Add '-1x' to each side of the equation. x + -1x = 14 + -1x Combine like terms: x + -1x = 0 0 = 14 + -1x Simplifying 0 = 14 + -1x 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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