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]]