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Simplifying 2cos2(3x) = cos(3x) Remove parenthesis around (3x) 2cos2 * 3x = cos(3x) Reorder the terms for easier multiplication: 2 * 3cos2 * x = cos(3x) Multiply 2 * 3 6cos2 * x = cos(3x) Multiply cos2 * x 6cos2x = cos(3x) Remove parenthesis around (3x) 6cos2x = cos * 3x Reorder the terms for easier multiplication: 6cos2x = 3cos * x Multiply cos * x 6cos2x = 3cosx Solving 6cos2x = 3cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cosx' to each side of the equation. -3cosx + 6cos2x = 3cosx + -3cosx Combine like terms: 3cosx + -3cosx = 0 -3cosx + 6cos2x = 0 Factor out the Greatest Common Factor (GCF), '3cosx'. 3cosx(-1 + 2s) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(-1 + 2s)' equal to zero and attempt to solve: Simplifying -1 + 2s = 0 Solving -1 + 2s = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2s = 0 + 1 2s = 0 + 1 Combine like terms: 0 + 1 = 1 2s = 1 Add '-2s' to each side of the equation. 2s + -2s = 1 + -2s Combine like terms: 2s + -2s = 0 0 = 1 + -2s Simplifying 0 = 1 + -2s 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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