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Simplifying cos3(x) = 2cosx Multiply cos3 * x cos3x = 2cosx Solving cos3x = 2cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cosx' to each side of the equation. -2cosx + cos3x = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 -2cosx + cos3x = 0 Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-2 + s2) = 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 '(-2 + s2)' equal to zero and attempt to solve: Simplifying -2 + s2 = 0 Solving -2 + s2 = 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 + s2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s2 = 0 + 2 s2 = 0 + 2 Combine like terms: 0 + 2 = 2 s2 = 2 Add '-1s2' to each side of the equation. s2 + -1s2 = 2 + -1s2 Combine like terms: s2 + -1s2 = 0 0 = 2 + -1s2 Simplifying 0 = 2 + -1s2 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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