Find the modulus and principal argument of 1/(-√3+i)

[Wardlaw]

Complex number help!

Homework Statement

Find the modulus and principle argument of 1/(-sqrt(3)+i)

Homework Equations

The Attempt at a Solution

I attempted this solution by using the complex conjugate, and as i^2=-1, i eventually ended up with 4 in the denominator. Any suggestions?

 

[yungman]

$$(-\sqrt{3}+j)(-\sqrt{3}-j)=3-1=2$$

So you should get $$\frac{-\sqrt{3}-j}{2}$$

 

[AEM]

Before you make use of the previous post, multiply numerator and denominator by the complex conjugate of the denominator. Then make use of Yungman's post. From there it's a standard manipulation.