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

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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

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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​∣
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