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Simplifying sin(x2 + -1y2) = -1sin(x2 + -1y2) (x2 * ins + -1y2 * ins) = -1sin(x2 + -1y2) (insx2 + -1insy2) = -1sin(x2 + -1y2) insx2 + -1insy2 = (x2 * -1ins + -1y2 * -1ins) insx2 + -1insy2 = (-1insx2 + 1insy2) Solving insx2 + -1insy2 = -1insx2 + 1insy2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'insx2' to each side of the equation. insx2 + insx2 + -1insy2 = -1insx2 + insx2 + 1insy2 Combine like terms: insx2 + insx2 = 2insx2 2insx2 + -1insy2 = -1insx2 + insx2 + 1insy2 Combine like terms: -1insx2 + insx2 = 0 2insx2 + -1insy2 = 0 + 1insy2 2insx2 + -1insy2 = 1insy2 Add '-1insy2' to each side of the equation. 2insx2 + -1insy2 + -1insy2 = 1insy2 + -1insy2 Combine like terms: -1insy2 + -1insy2 = -2insy2 2insx2 + -2insy2 = 1insy2 + -1insy2 Combine like terms: 1insy2 + -1insy2 = 0 2insx2 + -2insy2 = 0 Factor out the Greatest Common Factor (GCF), '2ins'. 2ins(x2 + -1y2) = 0 Factor a difference between two squares. 2ins((x + y)(x + -1y)) = 0 Ignore the factor 2.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 + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 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 + 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.Subproblem 3
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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