If $z = \cos \frac{\pi}{6} + i\sin \frac{\pi}{6}$,then:

  • A
    $|z| = 1, \arg z = \frac{\pi}{4}$
  • B
    $|z| = 1, \arg z = \frac{\pi}{6}$
  • C
    $|z| = \frac{\sqrt{3}}{2}, \arg z = \frac{5\pi}{24}$
  • D
    $|z| = \frac{\sqrt{3}}{2}, \arg z = \tan^{-1} \frac{1}{\sqrt{2}}$

Explore More

Similar Questions

Let $z$ be a complex number such that $|z|+z=3+i$,where $i=\sqrt{-1}$. Then $|z|$ is equal to:

If $z_1 = 1+2i$ and $z_2 = 3+5i$,then $\text{Re} \left( \frac{\bar{z}_2 z_1}{z_2} \right) = $

If $a > 0$ and $z = \frac{(1 + i)^2}{a - i}$ has magnitude $\sqrt{\frac{2}{5}}$,then $\bar{z}$ is equal to:

If $a > 0$ and $z = \frac{(1+i)^2}{a+i}, (i = \sqrt{-1})$ has magnitude $\frac{2}{\sqrt{5}}$,then $\bar{z}$ is equal to

If $ \alpha $ and $ \beta $ are two different complex numbers with $ |\beta|=1 $,then $ \left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right| $ is equal to

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo