How do you convert the rectangular coordinate #(0,-5)# into polar coordinates?

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Answer 1 · 2016-10-06T04:06:11

#(r,theta) => (5,pi/2)#

#(x,y) => (0,-5)#

#r^2=x^2+y^2#

Make appropriate substitutions

#r^2=(0)^2+(-5)^2#

#r^2=0+25=25#

#r=sqrt(r^2)=sqrt25=5#

#tan(theta)=y/x=-5/0=undef i n ed#

tangent is undefined at #pi/2# radians so #theta=pi/2#

Make the necessary substitutions

#(r,theta) => (5,pi/2)#