In an Argand diagram z is a point on the circle ∣z∣=2. Given that argz=θ and 0<θ<2π (i) Draw a diagram to represent thi
Posted: Wed Jul 13, 2022 5:05 am
In an Argand diagram z is a point on the circle ∣z∣=2. Given that argz=θ and 0<θ<2π (i) Draw a diagram to represent this information. (ii) Find, in terms of θ, an expression for argz2. (iii) Find, in terms of θ, giving brief reasons, expressions (A) arg(z+2) (B) arg(z−2) (C) z+2z−2∣