Question

How do I convert polar coordinates `(4,-pi/3)` to rectangular coordinates?

Answer 1

`(r,theta)->(4,(-pi)/3)`

Polar to Rectangular

`x=rcos(theta)=4cos((-pi)/3)=4(1/2)=2`

`y=rsin(theta)=4sin((-pi)/3)=4(-sqrt(3)/2)=-2sqrt(3)`

`(r,theta)->(4,(-pi)/3)`

`(x,y)->(2, -2sqrt(3))`