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Simplifying cos(5x) + cos(5y) = 0 Remove parenthesis around (5x) cos * 5x + cos(5y) = 0 Reorder the terms for easier multiplication: 5cos * x + cos(5y) = 0 Multiply cos * x 5cosx + cos(5y) = 0 Remove parenthesis around (5y) 5cosx + cos * 5y = 0 Reorder the terms for easier multiplication: 5cosx + 5cos * y = 0 Multiply cos * y 5cosx + 5cosy = 0 Solving 5cosx + 5cosy = 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), '5cos'. 5cos(x + y) = 0 Ignore the factor 5.Subproblem 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 + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 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 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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