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It is given that   z1= 3 cis (3π/4)    and z2= 2 cis (nπ/16), n∈ℤ+ 

(a) In parts (a)(i) and (a)(ii), give your answers in the form   r  e   iθ,    r≥ 0  ,    − π

(i) Find the value of   z13

(ii) Find the value of (z1/z2)4   for  n= 2 .

(b) Find the least value of n such that   z1z2∈ℝ+ 

 
 Jun 4, 2022

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