Question

multiply a complex number z by 1+i rotate the radius vector by an angle of?????​

Answer 1

Answer:

Answer

i=e

i

2

π

.

Consider

z=∣z∣e

iθ

Hence, iz=∣z∣e

i(θ+

2

π

)

Thus,

arg(iz)=θ+

2

π

arg(iz)=arg(z)+

2

π

.