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