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Simplifying cos3(x) = cos2(2x) Multiply cos3 * x cos3x = cos2(2x) Remove parenthesis around (2x) cos3x = cos2 * 2x Reorder the terms for easier multiplication: cos3x = 2cos2 * x Multiply cos2 * x cos3x = 2cos2x Solving cos3x = 2cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cos2x' to each side of the equation. -2cos2x + cos3x = 2cos2x + -2cos2x Combine like terms: 2cos2x + -2cos2x = 0 -2cos2x + cos3x = 0 Factor out the Greatest Common Factor (GCF), 'cos2x'. cos2x(-2 + s) = 0Subproblem 1
Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 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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