Find the modulus of each of the following complex numbers and hence express each of them in polar form: (sin 120° – i cos 120°)

Question

Philoid · Accepted Answer

= sin(90° + 30° ) - icos(90° + 30°)

= cos30° + isin30°

Since, sin(90°+ α) = cosα

And cos(90° + α) = -sinα

hence it is of the form

Therefore r = 1

Hence its modulus is 1 and argument is