Question

The Cartesian coordinates of a point are given. (a)    (5 3 , 5)(i) Find polar coordinates (r,...

The Cartesian coordinates of a point are given.

(a)    (5

3

, 5)(i) Find polar coordinates (r, θ) of the point, where

r > 0 and 0 ≤ θ < 2π.


(r, θ) =

  

  



(ii) Find polar coordinates (r, θ) of the point, where

r < 0 and 0 ≤ θ < 2π.


(r, θ) =

  

  

(b)    

(1, −3)

(i) Find polar coordinates (r, θ) of the point, where

r > 0 and 0 ≤ θ < 2π.


(r, θ) =

  

  



(ii) Find polar coordinates (r, θ) of the point, where

r < 0 and 0 ≤ θ < 2π.


(r, θ) =

  

  

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