If (x1+iy1)(x2+iy2)(x3+iy3)...(xn+iyn)=a+ib show that

If $(x_{1} + {iy}_{1}) (x_{2} + {iy}_{2}) (x_{3} + {iy}_{3}) . . . (x_{n} + {iy}_{n}) = a + ib$ show that

$\sum_{r = 1}^{n} \tan^{- 1} (\frac{y_{r}}{x_{r}}) = \tan^{- 1} (\frac{b}{a}) + 2 kπ, k \in Z$

Match the items on the right to the items on the left.

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