Problem a) Prove that (coso + ising) = cos20 + isin20 where i EC and i =-1. b) Using induction, prove that for all nez (coso +ising) = cosno +isinno...

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3. Problema) Prove that (coso + ising) = cos20 + isin20 where i EC and i =-1.b) Using induction, prove that for all nez (coso +ising) = cosno +isinnoc) Verify that 1+ i = v2(cos 45 + isin 45) and compute (1 + i).