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Simplifying Sinx = Siny Solving inxS = inyS Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1inyS' to each side of the equation. inxS + -1inyS = inyS + -1inyS Combine like terms: inyS + -1inyS = 0 inxS + -1inyS = 0 Factor out the Greatest Common Factor (GCF), 'inS'. inS(x + -1y) = 0## Subproblem 1

Set the factor 'inS' equal to zero and attempt to solve: Simplifying inS = 0 Solving inS = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inS = 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 i 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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