Question #ca0c5

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Answer 1 · 2017-05-30T14:08:58

The rectangular form is #y^2=4(1-x)#

To convert from polar coordinates #(r,theta)# to rectangular coordinates #(x,y)#, we use the following :

#rcosX=x#

#rsinX=y#

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

Here, we have

#r=2/(1+cosX)#

#r(1+cosX)=2#

#r+rcosX=2#

#sqrt(x^2+y^2)+x=2#

#sqrt(x^2+y^2)=2-x#

#cancelx^2+y^2=4-4x+cancelx^2#

#y^2=4(1-x)#