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the question is, show that angle(z1) and angle(z1 + z2) differ by an integer multiple of pi/2.

I tried doing it this way

arctan(z1/z3), but then I always end up with a number that doesn't work. I know that arctan(x) cannot equal pi/2. Is there another way t rewrite it? I computed it using matlab and it gave me pi/2.