Question

express the following complex numbers in polar form √3-i

Answer 1

Step-by-step explanation:

The given complex number is z=(-√3-i). Let its polar form be z=r(cosθ+isinθ). Now, r=|z|=√(-√3)2+(-1)2=√4=2. tanα=|Im(z)Re(z)|=|-1-√3|=1√3⇒α=π6

Answer 2

Answer:

The given complex number is

. <br> Let its polar form be

. <br> Now,

. <br> Let

be the acute angle, given by <br>

. <br> Clearly, the point representing the complex number

is

, which lies in the third quadrant. <br>

. <br> Thus,

. <br> Hence, the polar form of

is given by <br>

.