gg Hugo: Postac tryg i sin i cos pokazac zespolone (√3 +i ) do 50 Z=....?

awerts: |z| = √3 +1 cosalfa = a/|z| sinalfa = b/|z| gdzie a = √3 a b = 1 zatem glowny argument liczby z to pi/6 z⁵⁰ = (|z|⁵⁰) * ( cos50*(pi/6) + isin50*(pi/6) )

Hugo: A ile to z²=−4

Hugo: 2i v −2i

Hugo: Z⁶=i

Hugo: Prosze

MQ: i=1*e^iπ z=(1*e^iπ)^1/6=1^1/6*(e^iπ)^1/6=1*e^i(π+2kπ)/6=e^{i(π/6+kπ/3)}, k=0, 1, 2, 3, 4, 5