y-length as part of a complex number (page 2)

C₁ = e^{ylength + iθ}
C₂ = e^{ylength - iθ}
C₃ = e^{-ylength + iθ}
C₄ = e^{-ylength - iθ}

If the y-length of BA is measured relative to O, and applied to each of the four expressions, the complex numbers they represent are shown below.

The sum of the four complex equations is 4.

in the diagram
θ = .436332 (25°)
y-length of BA, relative to O, is .450875

e^{ylength + iθ} = e^ylength (Cosθ + iSinθ)
1.569685 (.906307 + i.422618)
1.422618 + i663377

e^{ylength - iθ} = e^ylength (Cosθ - iSinθ)
1.569685 (.906307 - i422618)
1.422618 - i.663377

e^{-ylength + iθ} = e^-ylength (Cosθ + iSinθ)
.637070 (.906307 + i.422618)
.577381 + i.269237

e^{-ylength - iθ} = e^-ylength (Cosθ - iSinθ)
.637070 (.906307 - i.422618)
.577381 - i.269237