How do you convert #r^2cos(2theta)=1# into cartesian form? Precalculus Polar Coordinates Converting Equations from Polar to Rectangular 1 Answer Ratnaker Mehta Aug 29, 2016 #x^2-y^2=1#. Explanation: The Gven Polar eqn. is #r^2cos 2theta=1#, i.e., #r^2cos^2 theta -r^2sin^2 theta=1# Since, #x=rcos theta. and, y=rsin theta#, we get the cartesian eqn, #x^2-y^2=1#. Answer link Related questions What is the polar equation of a horizontal line? What is the polar equation for #x^2+y^2=9#? How do I graph a polar equation? How do I find the polar equation for #y = 5#? What is a polar equation? How do I find the polar equation for #x^2+y^2=7y#? How do I convert the polar equation #r=10# to its Cartesian equivalent? How do I convert the polar equation #r=10 sin theta# to its Cartesian equivalent? How do you convert polar equations to rectangular equations? How do you convert #r=6cosθ# into a cartesian equation? See all questions in Converting Equations from Polar to Rectangular Impact of this question 26800 views around the world You can reuse this answer Creative Commons License