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Simplifying cos(3x) * cos(x) = cos(x) Remove parenthesis around (3x) cos * 3x * cos(x) = cos(x) Reorder the terms for easier multiplication: 3cos * x * cos * x = cos(x) Multiply cos * x 3cosx * cos * x = cos(x) Multiply cosx * cos 3c2o2s2x * x = cos(x) Multiply c2o2s2x * x 3c2o2s2x2 = cos(x) Multiply cos * x 3c2o2s2x2 = cosx Solving 3c2o2s2x2 = cosx Solving for variable 'c'. Reorder the terms: -1cosx + 3c2o2s2x2 = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -1cosx + 3c2o2s2x2 = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-1 + 3cosx) = 0Subproblem 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 + 3cosx)' equal to zero and attempt to solve: Simplifying -1 + 3cosx = 0 Solving -1 + 3cosx = 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 + 3cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3cosx = 0 + 1 3cosx = 0 + 1 Combine like terms: 0 + 1 = 1 3cosx = 1 Divide each side by '3osx'. c = 0.3333333333o-1s-1x-1 Simplifying c = 0.3333333333o-1s-1x-1Solution
c = {0.3333333333o-1s-1x-1}
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