More About Complex Numbers

Question

Find the reciprocal.

-1-i

2i

Answer 1

recall that since i^2 = -1, 1/i = -i

1/(-1-i) * (-1+i)/(-1+i) = (-1+i)/2

1/(2i) = (1/2)(1/i) = (1/2)(-i) = -1/2 i