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