Find a polar equation for each conic section.

Solution 73EStep 1:Graphs to polar equations Find a polar equation for each conic section. The polar equation of the hyperbola is of the form Where is the eccentricity and is the directrix.In the given graph,it is given that the directrix Therefore Since it is an hyperbola then we have Therefore the polar equation of the given diagram is Step 3:Now we have to find the eccentricity From the figure we can find that And Thus on solving this we get and Now we know that the expression for directrix of an ellipse is It is given in the picture that the directrix is Therefore Step 4:Therefore the polar equation of the given diagram is