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Simplifying cos(y) = 7cos(x) Multiply cos * y cosy = 7cos(x) Multiply cos * x cosy = 7cosx Solving cosy = 7cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7cosx' to each side of the equation. -7cosx + cosy = 7cosx + -7cosx Combine like terms: 7cosx + -7cosx = 0 -7cosx + cosy = 0 Factor out the Greatest Common Factor (GCF), 'cos'. cos(-7x + y) = 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 '(-7x + y)' equal to zero and attempt to solve: Simplifying -7x + y = 0 Solving -7x + y = 0 Move all terms containing c to the left, all other terms to the right. Add '7x' to each side of the equation. -7x + 7x + y = 0 + 7x Combine like terms: -7x + 7x = 0 0 + y = 0 + 7x y = 0 + 7x Remove the zero: y = 7x Add '-1y' to each side of the equation. y + -1y = 7x + -1y Combine like terms: y + -1y = 0 0 = 7x + -1y Simplifying 0 = 7x + -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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