Verified answer

We need to get the r, which is done by using the distance formula:

√[|-√3|^2 + |i|^2] = √[(√3)^2 + (1)^2] = √[3 + 1] = √4 = 2

So, your r is 2.

We can get the angle by figuring out arctan(1/-√3) = -(1/6)*π or 5/6*π

Since the real part is negative, you know it's in the second quadrant, meaning that we pick 5/6*π for the angle.

So, the trig form is...

z = 2(cos(5/6*π) + isin(5/6*π))