A polar conic section Consider the equation r2 = sec 2?.a. Convert the equation to Cartesian coordinates and identify the curve.b. Find the vertices, foci, directrices, and eccentricity of the curve.c. Graph the curve. Explain why the polar equation does not have the form given in the text for conic sections in polar coordinates.

Solution 37REGiven the equation Step 1:(a).Convert the equation to Cartesian coordinates and identify the curve. is the cartesian form of the given equation.This satisfies the general equation of a hyperbola Step 2:(b).Find the vertices, foci, directrices, and eccentricity of the curve.In general form the given equation can be written as Therefore centre is (0,0)a=1, b=1We know that Foci is Directrices is Vertices is Eccentricity