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Prove the following identities in complex numbers. (a) Re(22) +2 Im(2) =|2| (b) 2|w +212= w +21 + |w2| (c) w +2 ++ 1

Prove the following identities in complex numbers. (a) Re(22) +2 Im(2) = |2| (b) 2|w +212= w +21 + |w2| (c) w

Prove the following identities in complex numbers. (a) Re(22) +2 Im(2) =|2| (b) 2|w +212= w +21 + |w2| (c) w +2 ++ 1 = 0 where w is an nth root of unity different from 1 Prove the following identities in complex numbers. (a) Re(22)+2 Im(2) = |2| (b) 2|w|+2|z = w +21 + |w2| (c) w +2 ++ 1 = 0 where w is an nth root of unity different from 1

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