show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin

Introduction: In this we will present step by step procedure to show that w=1/2(z+z^-1) maps unit circle to unit circle centered at origin . This is a bi linear transformation problem of complex numbers. Question: show that\[w=\frac{1}{2}\left(z+z^{-1}\right)\]maps unit circle to…

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