Question

Express sin30+icos30 in polar form.

Answer 1

$\sin(30) + i \cos(30)$
$= \cos(60) + i \sin(60)$
$= 1( \cos(60) + i \sin(60) )$

Answer 2

Answer:

The required polar form is $=1(\cos \frac{\pi}{3}+i\sin \frac{\pi}{3})$

Step-by-step explanation:

Given : Expression $\sin 30+i\cos 30$

To express : The given expression into polar form.

Solution :

Every complex number can be written in the form $a+ib$

The polar form of a complex number takes the form $r(\cos \theta + i\sin \theta)$

If we re-write the given expression as

$\sin 30+i\cos 30$

$=\sin (90-60)+i\cos (90-60)$

$=\cos 60+i\sin 60$

or $=1(\cos \frac{\pi}{3}+i\sin \frac{\pi}{3})$

Therefore, The required polar form is $=1(\cos \frac{\pi}{3}+i\sin \frac{\pi}{3})$