How do you write the equation #4x-5y=10# in polar form?

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Answer 1 · 2016-12-10T14:49:58

The equation is #r=10/(4costheta-5sintheta)#

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

#x=rcostheta#

#y=rsintheta#

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

Here the equation is

#4x-5y=10#

#4rcostheta-5rsintheta=10#

#r(4costheta-5sintheta)=10#

#r=10/(4costheta-5sintheta)#