Question

The rectangular coordinates of a point are given. Find polar coordinates for the point.

(√3, 1)

Answer 1

Step 1 :

Conversion from rectangular coordinates to polar coordinates :  

If P  is a point with rectangular coordinates , the polar coordinates of P  are given by

and

Step 2 :

The point is

Conversion to polar coordinates :

Substitute and in r.

 

Substitute and in

 

The polar coordinates of the point is

Solution :

The polar coordinates of the point is