Embibe Experts Solutions for Chapter: Complex Numbers, Exercise 1: JKCET 2017

What will be the argument of the complex number $\mathrm{z}=\frac{i-1}{e^{{\displaystyle \frac{i\pi }{3}}}} ?$

It is given that $z_r=\cos \left(\pi /2^r\right)+i\sin \left(\pi /2^r\right)$ The value of the product $z_1·z_2·z_3·z_4\dots \infty$ is

$z$ is a complex number such that $\arg \left(z\right)<0.$ What will be the value of $\arg (-z)-\arg \left(z\right)?$

Which term of the sequence $\{9-8i,8-6i,7-4i,\dots \}$ is a real number?

What should be the positive value of $p$ so that the magnitude of $(3+pi)$, where $i=\sqrt{(}-1)$, is twice that of $\left(\frac{3}{4}\right)+pi$?

$\sin \left(ix\right)=$

If $Z_1=a+ib$ and $Z_2=c+id$ are two complex numbers where $a, b, c, d$ are all real numbers, then

We are given that $p$ and $q$ are two complex numbers such that $|p+q|=\left|p\right|+\left|q\right|.$ The value of $\arg \left(p\right)-\arg \left(q\right)$ is