How do you change the polar coordinate #(-6, pi)# into rectangular coordinates?

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Answer 1 · 2017-06-11T15:15:31

#(x,y)=(6,0)#

#r=-6#
#theta=pi#

The formula for translating polar coordinates to rectangular coordinates is

#x=rcos(theta)#

#y=rsin(theta)#

Plug the #r# and #theta# terms into the formulas above

#x=-6cos(pi)=6#
#y=-6sin(pi)=0#

So, #(x,y)=(6,0)#