lst=[["(A+B*sin(x))/(a+b*cos(x))","x",1],
["(A+B*sin(x))/(1+cos(x))","x",1],
["(A+B*sin(x))/(1-cos(x))","x",1],
["(b+c+sin(x))/(a+b*cos(x))","x",1],
["(b+c+sin(x))/(a-b*cos(x))","x",1],
["(A+B*tan(x))/(a+b*cos(x))","x",1],
["(A+B*cot(x))/(a+b*cos(x))","x",1],
["(A+B*csc(x))/(a+b*cos(x))","x",1],
["(c+d*sec(f*x+e))^4/(a+b*cos(f*x+e))","x",1],
["(c+d*sec(f*x+e))^3/(a+b*cos(f*x+e))","x",1],
["(c+d*sec(f*x+e))^2/(a+b*cos(f*x+e))","x",1],
["(c+d*sec(f*x+e))/(a+b*cos(f*x+e))","x",1],
["1/(a+b*cos(f*x+e))/(c+d*sec(f*x+e))","x",1],
["1/(a+b*cos(f*x+e))/(c+d*sec(f*x+e))^2","x",1],
["1/(a+b*cos(f*x+e))/(c+d*sec(f*x+e))^3","x",1],
["(c+d*sec(f*x+e))^(1/2)/(a+b*cos(f*x+e))","x",1],
["1/(a+b*cos(f*x+e))/(c+d*sec(f*x+e))^(1/2)","x",1],
["(A+B*cos(e*x+d)+C*sin(e*x+d))/(a+b*cos(e*x+d))","x",1],
["(A+B*cos(e*x+d)+C*sin(e*x+d))/(a+b*cos(e*x+d))^2","x",1],
["(A+B*cos(e*x+d)+C*sin(e*x+d))/(a+b*cos(e*x+d))^3","x",1],
["(A+B*cos(e*x+d)+C*sin(e*x+d))/(a+b*cos(e*x+d))^4","x",1]]