The expression $ an \left(i \log \left(\frac{a-i b}{a+i b} ight) ight)$ reduces to

Question

The expression $	an \left(i \log \left(\frac{a-i b}{a+i b}ight)ight)$ reduces to

Professor PC Thomas Classes · Answer

Convert to polar form, use logarithm properties, and simplify the imaginary argument of tangent to obtain $\frac{2ab}{a^2-b^2}$.