Question

Escreva na forma trigonométrica:


a) -2 -2i b) -4 c)7i

Answer 1

Resposta:

a) z = 2√2[cos(5π/4) +isen(5π/4)

b) z = 4[cos(π) +isen(π)]

c) z = 7[cos(π/2) +isen(π/2)]

Explicação passo-a-passo:

a) tgβ=-2/2. Logo tgβ=-1 e β=225°=5π/4

z = 2√2[cos(5π/4) +isen(5π/4)

b) tgβ=0/-4. Logo tgβ=0 e β=180°=π

z = 4[cos(π) +isen(π)]

c) tgβ=7/0. Logo tgβ=∞ e β=90°=π/2

z = 7[cos(π/2) +isen(π/2)]