The principal argument of the complex number z=(1+ sin π- cos π/1+ sin π+i cos π) is

Question

The principal argument of the complex number z=(1+ sin π- cos π/1+ sin π+i cos π) is (A) (π/3) (B) (π/6) (C) (π/5) (D) (π/2)

Tardigrade Admin · Accepted Answer

z=(1+i/1-i)=i ⇒ arg (z)=(π/2)

Q. The principal argument of the complex number $z = \frac{1 + s i n π - c o s π}{1 + s i n π + i c o s π}$ is