Question

Dados Z1 = 2 (cos pi/4 +isen pi/4) e Z2 = 3 (cos pi/2 +isen pi/2) calcule

a) Z1 x Z2

b) Z1/Z2

Answer 1

$Muutiplicacao: z_{1}*z_{2} =2*3[cos (\pi /4+ \pi /2) + isen (\pi /4+ \pi /2) z_{1}*z_{2} =6[cos (3\pi /4) + isen (3\pi /4) Divisao: z_{1}/z_{2} =2/3[cos (\pi /4- \pi /2) + isen (\pi /4- \pi /2) z_{1}/z_{2} =2/3[cos (-\pi /4) + isen (-\pi /4)$