How do you convert #r=-2cscΘ# to rectangular form?

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Answer 1 · 2016-10-20T09:07:11

#y+2=0#

The relation between polar coordinates #(r,theta)# and rectangular Cartesian coordinates #(x,y)# are given by

#x=rcostheta# and #y=rsintheta# or #r^2=x^2+y^2#

Hence #r=-2csctheta# can be written as

#r=-2/sintheta#

or #rsintheta=-2#

or #y=-2#

or #y+2=0#