Find the rectangular coordinates for 1 pi3Solutiongiven r 1

Find the rectangular coordinates for (-1, - pi/3)

Solution

given r =-1,=-_/3

x=rcos , y=rsin

x=-1cos(-_/3) , y =-1sin(-_/3)

x =-1(cos(_/3)), y =-1(-sin(_/3))

x =-cos(_/3), y =sin(_/3)

x =-1_/2, y=(3)_/2

rectangular coordinates are (-1_/2,(3)_/2)