kill(all)$

van=facebook.com/LearningCalculus$

e1:x^2 + 2 = tan(alpha);

e2:y^2 - 3 = cot(alpha);

e3:1/(y^2 - 3) = tan(alpha);

e4:lhs(e1) = lhs(e3);

e5:lhs(e1)/lhs(e3)-1;

f(x,y):=e5$ f(x,y);

f(x,y)=0;

expand(f(x,y));