Question

Represent the complex number $2+3i$ in argand plane

Answer 1

The magnitude of $2+3i$ is $\sqrt{13}$

Let the angle made be the point be $\theta$ , we have $tan\theta =\frac{3}{2}$

Which implies $\theta ={\tan }^{-1}\frac{3}{2}$

The number in argand plane will be $\sqrt{13}{e}^{(i{\tan }^{-1}\frac{3}{2})}$