Question

Amplitude of $\frac{1+i}{1-i}$ is :

• A. $0$
• B. $\pi$
• C. $\frac{\pi }{2}$
• D. $-\pi$

Answer 1

The correct option is C $\frac{\pi }{2}$

$\frac{1+i}{1-i}$ $=\frac{(1+i)(1+i)}{(1-i)(1+i)}$

$=\frac{(1+i{)}^2}{1^2-i^2}$

$=\frac{1-1+2i}{2}$

$=i$

therefore amplitude $=\frac{\pi }{2}$