Question

In: Math

(a) The Cartesian coordinates of a point are (1, 1).


(1 point) (a) The Cartesian coordinates of a point are (1, 1). () Find polar coordinates (r, ) of the point, where r > 0 and

(a) The Cartesian coordinates of a point are (1, 1). 

(i) Find polar coordinates (r, θ) of the point, where r > 0 and 0≤θ< 2π. 

(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. 


(b) The Cartesian coordinates of a point are \((2 \sqrt{3},-2)\).

(i)  Find polar coordinates (r, θ) of the point, where r >0 and 0≤θ<2π. 

(ii) Find polar coordinates (r, θ) of the point, where r<0 and 0 ≤θ< 2π.

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