If $z_1 \cdot z_2 \cdot \dots \cdot z_n = z$,then $arg(z_1) + arg(z_2) + \dots + arg(z_n)$ and $arg(z)$ differ by a

The argument of the complex number $-1 + i\sqrt{3}$ is ............. $^\circ$.

Find the modulus and the argument of the complex number $z = -1 - i \sqrt{3}$.

The argument of $z = -1 - i\sqrt{3}$ is:

Assertion $(A)$: If the arguments of $\bar{z}_1$ and $z_2$ are $\frac{\pi}{5}$ and $\frac{\pi}{3}$ respectively,then $\arg(z_1 z_2)$ is $\frac{2\pi}{15}$. Reason $(R)$: For any complex number $z$,$\arg(\bar{z}) = \frac{\pi}{2} + \arg(z)$. The correct option among the following is:

The amplitude (argument) of $(1+i)^{5}$ is