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Simplifying cosx + i * sinx = sinx + i * cosx Multiply i * insx cosx + i2nsx = sinx + i * cosx Multiply i * cosx cosx + i2nsx = insx + ciosx Reorder the terms: cosx + i2nsx = ciosx + insx Solving cosx + i2nsx = ciosx + insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1ciosx' to each side of the equation. cosx + -1ciosx + i2nsx = ciosx + -1ciosx + insx Reorder the terms: -1ciosx + cosx + i2nsx = ciosx + -1ciosx + insx Combine like terms: ciosx + -1ciosx = 0 -1ciosx + cosx + i2nsx = 0 + insx -1ciosx + cosx + i2nsx = insx Add '-1i2nsx' to each side of the equation. -1ciosx + cosx + i2nsx + -1i2nsx = insx + -1i2nsx Combine like terms: i2nsx + -1i2nsx = 0 -1ciosx + cosx + 0 = insx + -1i2nsx -1ciosx + cosx = insx + -1i2nsx Reorder the terms: -1ciosx + cosx + -1insx + i2nsx = insx + -1insx + -1i2nsx + i2nsx Combine like terms: insx + -1insx = 0 -1ciosx + cosx + -1insx + i2nsx = 0 + -1i2nsx + i2nsx -1ciosx + cosx + -1insx + i2nsx = -1i2nsx + i2nsx Combine like terms: -1i2nsx + i2nsx = 0 -1ciosx + cosx + -1insx + i2nsx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(-1cio + co + -1in + i2n) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(-1cio + co + -1in + i2n)' equal to zero and attempt to solve: Simplifying -1cio + co + -1in + i2n = 0 Solving -1cio + co + -1in + i2n = 0 Move all terms containing c to the left, all other terms to the right. Add 'in' to each side of the equation. -1cio + co + -1in + in + i2n = 0 + in Combine like terms: -1in + in = 0 -1cio + co + 0 + i2n = 0 + in -1cio + co + i2n = 0 + in Remove the zero: -1cio + co + i2n = in Add '-1i2n' to each side of the equation. -1cio + co + i2n + -1i2n = in + -1i2n Combine like terms: i2n + -1i2n = 0 -1cio + co + 0 = in + -1i2n -1cio + co = in + -1i2n 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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