Question

SOCORRRRRO! W= 3.(cos 45˚ + i . sen 45˚)

quando é W ao quadrado?

Answer 1

W= 3.( cos 45 + i.sen 45)  = 3 . (√2/2  + i.√2/2)= 3√/2(1 + i)

W² = [3√2/2 ( 1 + i)]²= (3√2/2)(1+ i)² = 9.2/4 ( 1 + 2i + i²) = 9/2 ( 1 + 2i - 1) = 9/2 (2i) = 9i

W²  = 9i = 9.(cos90 + i.sen90)