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Simplifying cos(x + pi) = -1cos(x) Reorder the terms: cos(ip + x) = -1cos(x) (ip * cos + x * cos) = -1cos(x) (ciops + cosx) = -1cos(x) Multiply cos * x ciops + cosx = -1cosx Solving ciops + cosx = -1cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'cosx' to each side of the equation. ciops + cosx + cosx = -1cosx + cosx Combine like terms: cosx + cosx = 2cosx ciops + 2cosx = -1cosx + cosx Combine like terms: -1cosx + cosx = 0 ciops + 2cosx = 0 Factor out the Greatest Common Factor (GCF), 'cos'. cos(ip + 2x) = 0Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 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 '(ip + 2x)' equal to zero and attempt to solve: Simplifying ip + 2x = 0 Solving ip + 2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1ip' to each side of the equation. ip + -1ip + 2x = 0 + -1ip Combine like terms: ip + -1ip = 0 0 + 2x = 0 + -1ip 2x = 0 + -1ip Remove the zero: 2x = -1ip Add '-2x' to each side of the equation. 2x + -2x = -1ip + -2x Combine like terms: 2x + -2x = 0 0 = -1ip + -2x Simplifying 0 = -1ip + -2x 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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