Question

The 12th roots of unity have arguments that are multiples of _____.

Answer 1

360/12 = 30deg...so the arguments are multiples of 30deg.

Answer 2

Unity is any complex number which when raised to the power 'n' gives 1. Unity means angle around a point.

the angle is 360

for 12th root of unity, we divide the angle in 12 parts, so each part = 360/12= 30

so the arguments of 12th root of unity are multiples of 30 degrees.