Question

find rectangular coordinates for each point with the given polar coordinates (-1,pi/2)

Answer 1

we want to find (x,y)
we know r=-1 and theta=pi/2
we also know that x=rcos(theta) and y=rsin(tetha)

Answer 2

so x=-1cos(pi/2)=-1(0)=0
y=-1sin(pi/2)=-1(1)=-1

Answer 3

so (x,y)=(0,-1)