Question: Represent exp( i 4 ), exp( i 2 ) and their sum in the complex plane. By expressing each of them as x + iy,

Represent exp( i 4 ), exp( i 2 ) and their sum in the complex plane. By expressing each of them as x + iy, deduce that tan 3 8 = 1 + 2. By considering (2 + i)(3 + i), show that 4 = tan1 (1/2) + tan1 (1/3)

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