If z is a complex number of unit modulus

Question:

If $\mathrm{z}$ is a complex number of unit modulus and argument $\theta$, then $\arg \left(\frac{1+\mathrm{z}}{1+\overline{\mathrm{z}}}\right)$ equals

  1. $-\theta$

  2. $\frac{\pi}{2}-\theta$

  3. $\theta$

  4. $\pi-\theta$


Correct Option: , 3

Solution:

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