1. Express \( z=\frac{4}{(1+i)^{2}} \), where \( i=\sqrt{-1} \), in the form of \( a+b i \) where \( a \) and \( b \) are real numbers. Hence, (i) Find \( |z| \) and Arg-z (ii) State the polar form of the complex number
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\[ (1+i)^2 = 1^2 + 2 \cdot 1 \cdot i + i^2 = 1 + 2i + i^2 \] Since \(i^2 = -1\), \[ 1 + 2i + i^2 = 1 + 2i - 1 = 2i \] Show more…
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