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Simplifying cos2(6x) = cos(12x) Remove parenthesis around (6x) cos2 * 6x = cos(12x) Reorder the terms for easier multiplication: 6cos2 * x = cos(12x) Multiply cos2 * x 6cos2x = cos(12x) Remove parenthesis around (12x) 6cos2x = cos * 12x Reorder the terms for easier multiplication: 6cos2x = 12cos * x Multiply cos * x 6cos2x = 12cosx Solving 6cos2x = 12cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12cosx' to each side of the equation. -12cosx + 6cos2x = 12cosx + -12cosx Combine like terms: 12cosx + -12cosx = 0 -12cosx + 6cos2x = 0 Factor out the Greatest Common Factor (GCF), '6cosx'. 6cosx(-2 + s) = 0 Ignore the factor 6.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 '(-2 + s)' equal to zero and attempt to solve: Simplifying -2 + s = 0 Solving -2 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s = 0 + 2 s = 0 + 2 Combine like terms: 0 + 2 = 2 s = 2 Add '-1s' to each side of the equation. s + -1s = 2 + -1s Combine like terms: s + -1s = 0 0 = 2 + -1s Simplifying 0 = 2 + -1s 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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