Find polar coordinates of the point that has rectangular coo

Find polar coordinates of the point that has rectangular coordinates (-3. -2). Write your answer using degrees, and round your coordinates to the nearest hundredth.

Solution

x =-3 , y =-2

x²+y²=r²

(-3)²+(-2)²=r²

r²=13

r =13=3.61

=tan^-1(y/x)

=tan^-1(-2/-3)

=180+tan^-1(2/3)

=180+33.69

=213.69^o

(r,)=(3.61,213.69^o)