I am supposed to derive [itex]4\,\arctan \left( 1/5 \right) -\arctan \left( {\frac {1}{239}}(adsbygoogle = window.adsbygoogle || []).push({});

\right) [/itex] from the complex product of [itex]\left( 1+i \right) \left( 5-i \right) ^{4}[/itex] I do see how the argument of product of the complex expression is equal to pi/4 - 4 arctan(1/5) but I am totally lost. SO how am I supposed to approach this? Thanks heaps in advance.

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# Deriving inverse tans from complex product?

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