lst:=[[sin(m*x)*sin(n*x),x,1],
[sin(x)*sin(m*x),x,1],
[sin(x)*sin(2*x),x,1],
[sin(x)*sin(3*x),x,1],
[sin(x)*sin(4*x),x,1],
[csc(2*x)*sin(x),x,1],
[csc(3*x)*sin(x),x,1],
[csc(4*x)*sin(x),x,1],
[csc(5*x)*sin(x),x,1],
[csc(6*x)*sin(x),x,1],
[csc(x)*sin(3*x),x,1],
[csc(3*x)*sin(6*x),x,1],
[cos(m*x)*sin(n*x),x,1],
[cos(x)*sin(n*x),x,1],
[cos(m*x)*sin(x),x,1],
[cos(2*x)*sin(x),x,1],
[cos(3*x)*sin(x),x,1],
[cos(4*x)*sin(x),x,1],
[sin(m*x)*tan(n*x),x,1],
[sin(x)*tan(n*x),x,1],
[sin(m*x)*tan(x),x,1],
[sin(x)*tan(2*x),x,1],
[sin(x)*tan(3*x),x,1],
[sin(x)*tan(4*x),x,1],
[sin(x)*tan(5*x),x,1],
[sin(x)*tan(6*x),x,1],
[cot(2*x)*sin(x),x,1],
[cot(3*x)*sin(x),x,1],
[cot(4*x)*sin(x),x,1],
[cot(5*x)*sin(x),x,1],
[cot(6*x)*sin(x),x,1],
[sec(2*x)*sin(x),x,1],
[sec(3*x)*sin(x),x,1],
[sec(4*x)*sin(x),x,1],
[sec(5*x)*sin(x),x,1],
[sec(6*x)*sin(x),x,1],
[cos(m*x)*cos(n*x),x,1],
[cos(x)*cos(n*x),x,1],
[cos(x)*cos(m*x),x,1],
[cos(x)*cot(n*x),x,1],
[cos(x)*sin(2*x),x,1],
[cos(x)*sin(3*x),x,1],
[cos(x)*sin(4*x),x,1],
[cos(x)*cos(2*x),x,1],
[cos(x)*cos(3*x),x,1],
[cos(x)*cos(4*x),x,1],
[cos(x)*tan(2*x),x,1],
[cos(x)*tan(3*x),x,1],
[cos(x)*tan(4*x),x,1],
[cos(x)*tan(5*x),x,1],
[cos(x)*tan(6*x),x,1],
[cos(x)*cot(2*x),x,1],
[cos(x)*cot(3*x),x,1],
[cos(x)*cot(4*x),x,1],
[cos(x)*cot(5*x),x,1],
[cos(x)*cot(6*x),x,1],
[cos(x)*sec(2*x),x,1],
[cos(x)*sec(3*x),x,1],
[cos(x)*sec(4*x),x,1],
[cos(x)*sec(5*x),x,1],
[cos(x)*sec(6*x),x,1],
[cos(2*x)*sec(x),x,1],
[cos(4*x)*sec(2*x),x,1],
[cos(x)*csc(2*x),x,1],
[cos(x)*csc(3*x),x,1],
[cos(x)*csc(4*x),x,1],
[cos(x)*csc(5*x),x,1],
[cos(x)*csc(6*x),x,1],
[cos(6*x)^3*sin(x),x,1],
[cos(6*x)^3*sin(9*x),x,1],
[cos(2*x)*sin(6*x)^2,x,1],
[cos(x)*sin(6*x)^2,x,1],
[cos(x)*sin(6*x)^3,x,1],
[cos(7*x)*sin(6*x)^3,x,1],
[cos(3*x)^2*sin(2*x)^3,x,1],
[sin(b*x+a)*sin(b*x+c),x,1],
[-sin(b*x-c)*sin(b*x+a),x,1],
[sin(b*x+a)*sin(b*x+c)^3,x,1],
[sin(b*x+a)*sin(b*x+c)^2,x,1],
[sin(b*x+a)*sin(b*x+c),x,1],
[csc(b*x+c)*sin(b*x+a),x,1],
[csc(b*x+c)^2*sin(b*x+a),x,1],
[csc(b*x+c)^3*sin(b*x+a),x,1],
[csc(b*x+c)^4*sin(b*x+a),x,1],
[csc(b*x+c)^5*sin(b*x+a),x,1],
[csc(b*x+c)^6*sin(b*x+a),x,1],
[sin(b*x+a)^2*sin(b*x+c)^3,x,1],
[sin(b*x+a)^2*sin(b*x+c)^2,x,1],
[sin(b*x+a)^2*sin(b*x+c),x,1],
[csc(b*x+c)*sin(b*x+a)^2,x,1],
[csc(b*x+c)^2*sin(b*x+a)^2,x,1],
[csc(b*x+c)^3*sin(b*x+a)^2,x,1],
[csc(b*x+c)^4*sin(b*x+a)^2,x,1],
[sin(b*x+a)^3*sin(b*x+c)^3,x,1],
[sin(b*x+a)^3*sin(b*x+c)^2,x,1],
[sin(b*x+a)^3*sin(b*x+c),x,1],
[csc(b*x+c)*sin(b*x+a)^3,x,1],
[csc(b*x+c)^2*sin(b*x+a)^3,x,1],
[csc(b*x+c)^3*sin(b*x+a)^3,x,1],
[csc(b*x+c)^4*sin(b*x+a)^3,x,1],
[csc(b*x+a)*csc(b*x+c),x,1],
[csc(b*x+a)*csc(b*x+c)^2,x,1],
[csc(b*x+a)*csc(b*x+c)^3,x,1],
[csc(b*x+a)^2*csc(b*x+c)^2,x,1],
[csc(b*x+a)^2*csc(b*x+c)^3,x,1],
[csc(b*x+a)^2*csc(b*x+c)^4,x,1],
[csc(b*x+a)^3*csc(b*x+c)^3,x,1],
[csc(b*x+a)^3*csc(b*x+c)^4,x,1],
[csc(b*x+a)^3*csc(b*x+c)^5,x,1],
[sin(b*x+a)*sin(d*x+c)^3,x,1],
[sin(b*x+a)*sin(d*x+c)^2,x,1],
[sin(b*x+a)*sin(d*x+c),x,1],
[csc(d*x+c)*sin(b*x+a),x,1],
[csc(d*x+c)^2*sin(b*x+a),x,1],
[csc(d*x+c)^3*sin(b*x+a),x,1],
[sin(b*x+a)^2*sin(d*x+c)^3,x,1],
[sin(b*x+a)^2*sin(d*x+c)^2,x,1],
[sin(b*x+a)^2*sin(d*x+c),x,1],
[csc(d*x+c)*sin(b*x+a)^2,x,1],
[csc(d*x+c)^2*sin(b*x+a)^2,x,1],
[csc(d*x+c)^3*sin(b*x+a)^2,x,1],
[csc(d*x+c)^4*sin(b*x+a)^2,x,1],
[sin(b*x+a)^3*sin(d*x+c)^3,x,1],
[sin(b*x+a)^3*sin(d*x+c)^2,x,1],
[sin(b*x+a)^3*sin(d*x+c),x,1],
[csc(d*x+c)*sin(b*x+a)^3,x,1],
[csc(d*x+c)^2*sin(b*x+a)^3,x,1],
[csc(d*x+c)^3*sin(b*x+a)^3,x,1],
[csc(d*x+c)^4*sin(b*x+a)^3,x,1],
[csc(b*x+a)*csc(d*x+c),x,0],
[csc(b*x+a)*csc(d*x+c)^2,x,0],
[csc(b*x+a)*csc(d*x+c)^3,x,0],
[csc(b*x+a)^2*csc(d*x+c)^2,x,0],
[csc(b*x+a)^2*csc(d*x+c)^3,x,0],
[csc(b*x+a)^2*csc(d*x+c)^4,x,0],
[sin(b*x+a)^3*sin(d*x+c)^(1/2),x,1],
[sin(b*x+a)^2*sin(d*x+c)^(1/2),x,1],
[sin(b*x+a)*sin(d*x+c)^(1/2),x,1],
[csc(b*x+a)*sin(d*x+c)^(1/2),x,0],
[csc(b*x+a)^2*sin(d*x+c)^(1/2),x,0],
[sin(b*x+a)^3*sin(d*x+c)^q,x,1],
[sin(b*x+a)^2*sin(d*x+c)^q,x,1],
[sin(b*x+a)*sin(d*x+c)^q,x,1],
[csc(b*x+a)*sin(d*x+c)^q,x,0],
[csc(b*x+a)^2*sin(d*x+c)^q,x,0],
[cos(b*x+c)^3*sin(b*x+a),x,1],
[cos(b*x+c)^2*sin(b*x+a),x,1],
[cos(b*x+c)*sin(b*x+a),x,1],
[sec(b*x+c)*sin(b*x+a),x,1],
[sec(b*x+c)^2*sin(b*x+a),x,1],
[sec(b*x+c)^3*sin(b*x+a),x,1],
[sec(b*x+c)^4*sin(b*x+a),x,1],
[sec(b*x+c)^5*sin(b*x+a),x,1],
[sec(b*x+c)^6*sin(b*x+a),x,1],
[cos(b*x+c)^3*sin(b*x+a)^2,x,1],
[cos(b*x+c)^2*sin(b*x+a)^2,x,1],
[cos(b*x+c)*sin(b*x+a)^2,x,1],
[sec(b*x+c)*sin(b*x+a)^2,x,1],
[sec(b*x+c)^2*sin(b*x+a)^2,x,1],
[sec(b*x+c)^3*sin(b*x+a)^2,x,1],
[cos(b*x+c)^3*sin(b*x+a)^3,x,1],
[cos(b*x+c)^2*sin(b*x+a)^3,x,1],
[cos(b*x+c)*sin(b*x+a)^3,x,1],
[sec(b*x+c)*sin(b*x+a)^3,x,1],
[sec(b*x+c)^2*sin(b*x+a)^3,x,1],
[sec(b*x+c)^3*sin(b*x+a)^3,x,1],
[cos(b*x+a)^3*csc(b*x+c),x,1],
[cos(b*x+a)^2*csc(b*x+c),x,1],
[cos(b*x+a)*csc(b*x+c),x,1],
[csc(b*x+c)*sec(b*x+a),x,1],
[csc(b*x+c)*sec(b*x+a)^2,x,1],
[csc(b*x+c)*sec(b*x+a)^3,x,1],
[cos(b*x+a)^3*csc(b*x+c)^2,x,1],
[cos(b*x+a)^2*csc(b*x+c)^2,x,1],
[cos(b*x+a)*csc(b*x+c)^2,x,1],
[csc(b*x+c)^2*sec(b*x+a),x,1],
[csc(b*x+c)^2*sec(b*x+a)^2,x,1],
[csc(b*x+c)^2*sec(b*x+a)^3,x,1],
[cos(b*x+a)^3*csc(b*x+c)^3,x,1],
[cos(b*x+a)^2*csc(b*x+c)^3,x,1],
[cos(b*x+a)*csc(b*x+c)^3,x,1],
[csc(b*x+c)^3*sec(b*x+a),x,1],
[csc(b*x+c)^3*sec(b*x+a)^2,x,1],
[csc(b*x+c)^3*sec(b*x+a)^3,x,1],
[cos(d*x+c)^3*sin(b*x+a),x,1],
[cos(d*x+c)^2*sin(b*x+a),x,1],
[cos(d*x+c)*sin(b*x+a),x,1],
[sec(d*x+c)*sin(b*x+a),x,1],
[sec(d*x+c)^2*sin(b*x+a),x,1],
[sec(d*x+c)^3*sin(b*x+a),x,1],
[cos(d*x+c)^3*sin(b*x+a)^2,x,1],
[cos(d*x+c)^2*sin(b*x+a)^2,x,1],
[cos(d*x+c)*sin(b*x+a)^2,x,1],
[sec(d*x+c)*sin(b*x+a)^2,x,1],
[sec(d*x+c)^2*sin(b*x+a)^2,x,1],
[sec(d*x+c)^3*sin(b*x+a)^2,x,1],
[cos(d*x+c)^3*sin(b*x+a)^3,x,1],
[cos(d*x+c)^2*sin(b*x+a)^3,x,1],
[cos(d*x+c)*sin(b*x+a)^3,x,1],
[sec(d*x+c)*sin(b*x+a)^3,x,1],
[sec(d*x+c)^2*sin(b*x+a)^3,x,1],
[sec(d*x+c)^3*sin(b*x+a)^3,x,1],
[cos(b*x+a)^3*csc(d*x+c),x,1],
[cos(b*x+a)^2*csc(d*x+c),x,1],
[cos(b*x+a)*csc(d*x+c),x,1],
[csc(d*x+c)*sec(b*x+a),x,0],
[csc(d*x+c)*sec(b*x+a)^2,x,0],
[csc(d*x+c)*sec(b*x+a)^3,x,0],
[cos(b*x+a)^3*csc(d*x+c)^2,x,1],
[cos(b*x+a)^2*csc(d*x+c)^2,x,1],
[cos(b*x+a)*csc(d*x+c)^2,x,1],
[csc(d*x+c)^2*sec(b*x+a),x,0],
[csc(d*x+c)^2*sec(b*x+a)^2,x,0],
[csc(d*x+c)^2*sec(b*x+a)^3,x,0],
[cos(b*x+a)^3*csc(d*x+c)^3,x,1],
[cos(b*x+a)^2*csc(d*x+c)^3,x,1],
[cos(b*x+a)*csc(d*x+c)^3,x,1],
[csc(d*x+c)^3*sec(b*x+a),x,0],
[csc(d*x+c)^3*sec(b*x+a)^2,x,0],
[csc(d*x+c)^3*sec(b*x+a)^3,x,0],
[cos(d*x+c)^(1/2)*sin(b*x+a)^3,x,1],
[cos(d*x+c)^(1/2)*sin(b*x+a)^2,x,1],
[cos(d*x+c)^(1/2)*sin(b*x+a),x,1],
[cos(d*x+c)^(1/2)*csc(b*x+a),x,0],
[cos(d*x+c)^(1/2)*csc(b*x+a)^2,x,0],
[cos(d*x+c)^q*sin(b*x+a)^3,x,1],
[cos(d*x+c)^q*sin(b*x+a)^2,x,1],
[cos(d*x+c)^q*sin(b*x+a),x,1],
[cos(d*x+c)^q*csc(b*x+a),x,0],
[cos(d*x+c)^q*csc(b*x+a)^2,x,0],
[sin(b*x+a)*tan(b*x+c)^3,x,1],
[sin(b*x+a)*tan(b*x+c)^2,x,1],
[sin(b*x+a)*tan(b*x+c),x,1],
[cot(b*x+c)*sin(b*x+a),x,1],
[cot(b*x+c)^2*sin(b*x+a),x,1],
[cot(b*x+c)^3*sin(b*x+a),x,1],
[sin(b*x+a)^2*tan(b*x+c)^3,x,1],
[sin(b*x+a)^2*tan(b*x+c)^2,x,1],
[sin(b*x+a)^2*tan(b*x+c),x,1],
[cot(b*x+c)*sin(b*x+a)^2,x,1],
[cot(b*x+c)^2*sin(b*x+a)^2,x,1],
[cot(b*x+c)^3*sin(b*x+a)^2,x,1],
[sin(b*x+a)^4*tan(b*x+c),x,1],
[csc(b*x+a)*tan(b*x+c)^2,x,1],
[csc(b*x+a)*tan(b*x+c),x,1],
[cot(b*x+c)*csc(b*x+a),x,1],
[cot(b*x+c)^2*csc(b*x+a),x,1],
[csc(b*x+a)^2*tan(b*x+c)^2,x,1],
[csc(b*x+a)^2*tan(b*x+c),x,1],
[cot(b*x+c)*csc(b*x+a)^2,x,1],
[cot(b*x+c)^2*csc(b*x+a)^2,x,1],
[csc(b*x+a)^3*tan(b*x+c)^2,x,1],
[csc(b*x+a)^3*tan(b*x+c),x,1],
[cot(b*x+c)*csc(b*x+a)^3,x,1],
[cot(b*x+c)^2*csc(b*x+a)^3,x,1],
[sin(b*x+a)*tan(d*x+c),x,1],
[cot(d*x+c)*sin(b*x+a),x,1],
[sin(b*x+a)^2*tan(d*x+c)^2,x,1],
[sin(b*x+a)^2*tan(d*x+c),x,1],
[cot(d*x+c)*sin(b*x+a)^2,x,1],
[sec(b*x+c)*sin(b*x+a),x,1],
[sec(b*x+c)^2*sin(b*x+a),x,1],
[sec(b*x+c)^3*sin(b*x+a),x,1],
[sec(b*x+c)^4*sin(b*x+a),x,1],
[sec(b*x-c)*sin(b*x+a),x,1],
[sec(b*x-c)^2*sin(b*x+a),x,1],
[sec(b*x-c)^3*sin(b*x+a),x,1],
[sec(b*x-c)^4*sin(b*x+a),x,1],
[sec(b*x+c)*sin(b*x+a)^2,x,1],
[sec(b*x+c)^2*sin(b*x+a)^2,x,1],
[sec(b*x+c)^3*sin(b*x+a)^2,x,1],
[sec(b*x+c)^4*sin(b*x+a)^2,x,1],
[sec(b*x-c)*sin(b*x+a)^2,x,1],
[sec(b*x-c)^2*sin(b*x+a)^2,x,1],
[sec(b*x-c)^3*sin(b*x+a)^2,x,1],
[sec(b*x-c)^4*sin(b*x+a)^2,x,1],
[csc(b*x+c)*sin(b*x+a),x,1],
[csc(b*x+c)^2*sin(b*x+a),x,1],
[csc(b*x+c)^3*sin(b*x+a),x,1],
[csc(b*x+c)^4*sin(b*x+a),x,1],
[-csc(b*x-c)*sin(b*x+a),x,1],
[csc(b*x-c)^2*sin(b*x+a),x,1],
[-csc(b*x-c)^3*sin(b*x+a),x,1],
[csc(b*x-c)^4*sin(b*x+a),x,1],
[csc(b*x+c)*sin(b*x+a)^2,x,1],
[csc(b*x+c)^2*sin(b*x+a)^2,x,1],
[csc(b*x+c)^3*sin(b*x+a)^2,x,1],
[csc(b*x+c)^4*sin(b*x+a)^2,x,1],
[-csc(b*x-c)*sin(b*x+a)^2,x,1],
[csc(b*x-c)^2*sin(b*x+a)^2,x,1],
[-csc(b*x-c)^3*sin(b*x+a)^2,x,1],
[csc(b*x-c)^4*sin(b*x+a)^2,x,1],
[cos(b*x+a)*cos(b*x+c),x,1],
[cos(b*x-c)*cos(b*x+a),x,1],
[cos(b*x+a)*cos(b*x+c)^3,x,1],
[cos(b*x+a)*cos(b*x+c)^2,x,1],
[cos(b*x+a)*cos(b*x+c),x,1],
[cos(b*x+a)*sec(b*x+c),x,1],
[cos(b*x+a)*sec(b*x+c)^2,x,1],
[cos(b*x+a)*sec(b*x+c)^3,x,1],
[cos(b*x+a)*sec(b*x+c)^4,x,1],
[cos(b*x+a)*sec(b*x+c)^5,x,1],
[cos(b*x+a)*sec(b*x+c)^6,x,1],
[cos(b*x+a)^2*cos(b*x+c)^3,x,1],
[cos(b*x+a)^2*cos(b*x+c)^2,x,1],
[cos(b*x+a)^2*cos(b*x+c),x,1],
[cos(b*x+a)^2*sec(b*x+c),x,1],
[cos(b*x+a)^2*sec(b*x+c)^2,x,1],
[cos(b*x+a)^2*sec(b*x+c)^3,x,1],
[cos(b*x+a)^2*sec(b*x+c)^4,x,1],
[cos(b*x+a)^3*cos(b*x+c)^3,x,1],
[cos(b*x+a)^3*cos(b*x+c)^2,x,1],
[cos(b*x+a)^3*cos(b*x+c),x,1],
[cos(b*x+a)^3*sec(b*x+c),x,1],
[cos(b*x+a)^3*sec(b*x+c)^2,x,1],
[cos(b*x+a)^3*sec(b*x+c)^3,x,1],
[cos(b*x+a)^3*sec(b*x+c)^4,x,1],
[sec(b*x+a)*sec(b*x+c),x,1],
[sec(b*x+a)*sec(b*x+c)^2,x,1],
[sec(b*x+a)*sec(b*x+c)^3,x,1],
[sec(b*x+a)^2*sec(b*x+c)^2,x,1],
[sec(b*x+a)^2*sec(b*x+c)^3,x,1],
[sec(b*x+a)^2*sec(b*x+c)^4,x,1],
[sec(b*x+a)^3*sec(b*x+c)^3,x,1],
[sec(b*x+a)^3*sec(b*x+c)^4,x,1],
[sec(b*x+a)^3*sec(b*x+c)^5,x,1],
[cos(b*x+a)*cos(d*x+c)^3,x,1],
[cos(b*x+a)*cos(d*x+c)^2,x,1],
[cos(b*x+a)*cos(d*x+c),x,1],
[cos(b*x+a)*sec(d*x+c),x,1],
[cos(b*x+a)*sec(d*x+c)^2,x,1],
[cos(b*x+a)*sec(d*x+c)^3,x,1],
[cos(b*x+a)^2*cos(d*x+c)^3,x,1],
[cos(b*x+a)^2*cos(d*x+c)^2,x,1],
[cos(b*x+a)^2*cos(d*x+c),x,1],
[cos(b*x+a)^2*sec(d*x+c),x,1],
[cos(b*x+a)^2*sec(d*x+c)^2,x,1],
[cos(b*x+a)^2*sec(d*x+c)^3,x,1],
[cos(b*x+a)^2*sec(d*x+c)^4,x,1],
[cos(b*x+a)^3*cos(d*x+c)^3,x,1],
[cos(b*x+a)^3*cos(d*x+c)^2,x,1],
[cos(b*x+a)^3*cos(d*x+c),x,1],
[cos(b*x+a)^3*sec(d*x+c),x,1],
[cos(b*x+a)^3*sec(d*x+c)^2,x,1],
[cos(b*x+a)^3*sec(d*x+c)^3,x,1],
[cos(b*x+a)^3*sec(d*x+c)^4,x,1],
[sec(b*x+a)*sec(d*x+c),x,0],
[sec(b*x+a)*sec(d*x+c)^2,x,0],
[sec(b*x+a)*sec(d*x+c)^3,x,0],
[sec(b*x+a)^2*sec(d*x+c)^2,x,0],
[sec(b*x+a)^2*sec(d*x+c)^3,x,0],
[sec(b*x+a)^2*sec(d*x+c)^4,x,0],
[cos(b*x+a)^3*cos(d*x+c)^(1/2),x,1],
[cos(b*x+a)^2*cos(d*x+c)^(1/2),x,1],
[cos(b*x+a)*cos(d*x+c)^(1/2),x,1],
[cos(d*x+c)^(1/2)*sec(b*x+a),x,0],
[cos(d*x+c)^(1/2)*sec(b*x+a)^2,x,0],
[cos(b*x+a)^3*cos(d*x+c)^q,x,1],
[cos(b*x+a)^2*cos(d*x+c)^q,x,1],
[cos(b*x+a)*cos(d*x+c)^q,x,1],
[cos(d*x+c)^q*sec(b*x+a),x,0],
[cos(d*x+c)^q*sec(b*x+a)^2,x,0],
[cos(b*x+a)*tan(b*x+c)^3,x,1],
[cos(b*x+a)*tan(b*x+c)^2,x,1],
[cos(b*x+a)*tan(b*x+c),x,1],
[cos(b*x+a)*cot(b*x+c),x,1],
[cos(b*x+a)*cot(b*x+c)^2,x,1],
[cos(b*x+a)*cot(b*x+c)^3,x,1],
[cos(b*x+a)*tan(d*x+c),x,1],
[cos(b*x+a)*cot(d*x+c),x,1],
[cos(b*x+a)*sec(b*x+c),x,1],
[cos(b*x+a)*sec(b*x+c)^2,x,1],
[cos(b*x+a)*sec(b*x+c)^3,x,1],
[cos(b*x+a)*sec(b*x+c)^4,x,1],
[cos(b*x+a)*sec(b*x-c),x,1],
[cos(b*x+a)*sec(b*x-c)^2,x,1],
[cos(b*x+a)*sec(b*x-c)^3,x,1],
[cos(b*x+a)*sec(b*x-c)^4,x,1],
[cos(b*x+a)^2*sec(b*x+c),x,1],
[cos(b*x+a)^2*sec(b*x+c)^2,x,1],
[cos(b*x+a)^2*sec(b*x+c)^3,x,1],
[cos(b*x+a)^2*sec(b*x+c)^4,x,1],
[cos(b*x+a)^2*sec(b*x-c),x,1],
[cos(b*x+a)^2*sec(b*x-c)^2,x,1],
[cos(b*x+a)^2*sec(b*x-c)^3,x,1],
[cos(b*x+a)^2*sec(b*x-c)^4,x,1],
[cos(b*x+a)*csc(b*x+c),x,1],
[cos(b*x+a)*csc(b*x+c)^2,x,1],
[cos(b*x+a)*csc(b*x+c)^3,x,1],
[cos(b*x+a)*csc(b*x+c)^4,x,1],
[-cos(b*x+a)*csc(b*x-c),x,1],
[cos(b*x+a)*csc(b*x-c)^2,x,1],
[-cos(b*x+a)*csc(b*x-c)^3,x,1],
[cos(b*x+a)*csc(b*x-c)^4,x,1],
[cos(b*x+a)^2*csc(b*x+c),x,1],
[cos(b*x+a)^2*csc(b*x+c)^2,x,1],
[cos(b*x+a)^2*csc(b*x+c)^3,x,1],
[cos(b*x+a)^2*csc(b*x+c)^4,x,1],
[-cos(b*x+a)^2*csc(b*x-c),x,1],
[cos(b*x+a)^2*csc(b*x-c)^2,x,1],
[-cos(b*x+a)^2*csc(b*x-c)^3,x,1],
[cos(b*x+a)^2*csc(b*x-c)^4,x,1],
[tan(b*x+a)*tan(b*x+c),x,1],
[-tan(b*x-c)*tan(b*x+a),x,1],
[cot(b*x+a)*cot(b*x+c),x,1],
[-cot(b*x-c)*cot(b*x+a),x,1],
[sec(b*x+a)*sec(b*x+c),x,1],
[sec(b*x-c)*sec(b*x+a),x,1],
[csc(b*x+a)*csc(b*x+c),x,1],
[-csc(b*x-c)*csc(b*x+a),x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^7,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^6,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^5,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^4,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^3,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^2,x,1],
[sin(b*x+a)*sin(2*b*x+2*a),x,1],
[csc(2*b*x+2*a)*sin(b*x+a),x,1],
[csc(2*b*x+2*a)^2*sin(b*x+a),x,1],
[csc(2*b*x+2*a)^3*sin(b*x+a),x,1],
[csc(2*b*x+2*a)^4*sin(b*x+a),x,1],
[csc(2*b*x+2*a)^5*sin(b*x+a),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^5,x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^4,x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^3,x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^2,x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a),x,1],
[csc(2*b*x+2*a)*sin(b*x+a)^2,x,1],
[csc(2*b*x+2*a)^2*sin(b*x+a)^2,x,1],
[csc(2*b*x+2*a)^3*sin(b*x+a)^2,x,1],
[csc(2*b*x+2*a)^4*sin(b*x+a)^2,x,1],
[csc(2*b*x+2*a)^5*sin(b*x+a)^2,x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^5,x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^4,x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^3,x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^2,x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a),x,1],
[csc(2*b*x+2*a)*sin(b*x+a)^3,x,1],
[csc(2*b*x+2*a)^2*sin(b*x+a)^3,x,1],
[csc(2*b*x+2*a)^3*sin(b*x+a)^3,x,1],
[csc(2*b*x+2*a)^4*sin(b*x+a)^3,x,1],
[csc(2*b*x+2*a)^5*sin(b*x+a)^3,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^8,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^7,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^6,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^5,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^4,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^3,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^2,x,1],
[csc(b*x+a)*sin(2*b*x+2*a),x,1],
[csc(b*x+a)*csc(2*b*x+2*a),x,1],
[csc(b*x+a)*csc(2*b*x+2*a)^2,x,1],
[csc(b*x+a)*csc(2*b*x+2*a)^3,x,1],
[csc(b*x+a)*csc(2*b*x+2*a)^4,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^8,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^7,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^6,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^5,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^4,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^3,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^2,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a),x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a),x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a)^2,x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a)^3,x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a)^4,x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a)^5,x,1],
[csc(b*x+a)^2*csc(2*b*x+2*a)^6,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^10,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^9,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^8,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^7,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^6,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^5,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^4,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^3,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^2,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a),x,1],
[csc(b*x+a)^3*csc(2*b*x+2*a),x,1],
[csc(b*x+a)^3*csc(2*b*x+2*a)^2,x,1],
[csc(b*x+a)^3*csc(2*b*x+2*a)^3,x,1],
[csc(b*x+a)^3*csc(2*b*x+2*a)^4,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)/sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)/sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)/sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)/sin(2*b*x+2*a)^(7/2),x,1],
[sin(b*x+a)/sin(2*b*x+2*a)^(9/2),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^(7/2),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)^2/sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)^2/sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)^2/sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)^2/sin(2*b*x+2*a)^(7/2),x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)^3*sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(1/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(3/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(7/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(9/2),x,1],
[sin(b*x+a)^3/sin(2*b*x+2*a)^(11/2),x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^(7/2),x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^(5/2),x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)/sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)/sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)/sin(2*b*x+2*a)^(5/2),x,1],
[csc(b*x+a)/sin(2*b*x+2*a)^(7/2),x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^(9/2),x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^(7/2),x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^(5/2),x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)^2/sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)^2/sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)^2/sin(2*b*x+2*a)^(5/2),x,1],
[csc(b*x+a)^2/sin(2*b*x+2*a)^(7/2),x,1],
[csc(b*x+a)^2/sin(2*b*x+2*a)^(9/2),x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^(9/2),x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^(7/2),x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^(5/2),x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)^3/sin(2*b*x+2*a)^(1/2),x,1],
[csc(b*x+a)^3/sin(2*b*x+2*a)^(3/2),x,1],
[csc(b*x+a)^3/sin(2*b*x+2*a)^(5/2),x,1],
[sin(b*x+a)^2*sin(2*b*x+2*a)^q,x,1],
[sin(b*x+a)*sin(2*b*x+2*a)^q,x,1],
[csc(b*x+a)*sin(2*b*x+2*a)^q,x,1],
[csc(b*x+a)^2*sin(2*b*x+2*a)^q,x,1],
[csc(b*x+a)^3*sin(2*b*x+2*a)^q,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^7,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^6,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^5,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^4,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^3,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^2,x,1],
[cos(b*x+a)*sin(2*b*x+2*a),x,1],
[cos(b*x+a)*csc(2*b*x+2*a),x,1],
[cos(b*x+a)*csc(2*b*x+2*a)^2,x,1],
[cos(b*x+a)*csc(2*b*x+2*a)^3,x,1],
[cos(b*x+a)*csc(2*b*x+2*a)^4,x,1],
[cos(b*x+a)*csc(2*b*x+2*a)^5,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^5,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^4,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^3,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^2,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a),x,1],
[cos(b*x+a)^2*csc(2*b*x+2*a),x,1],
[cos(b*x+a)^2*csc(2*b*x+2*a)^2,x,1],
[cos(b*x+a)^2*csc(2*b*x+2*a)^3,x,1],
[cos(b*x+a)^2*csc(2*b*x+2*a)^4,x,1],
[cos(b*x+a)^2*csc(2*b*x+2*a)^5,x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^5,x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^4,x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^3,x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^2,x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a),x,1],
[cos(b*x+a)^3*csc(2*b*x+2*a),x,1],
[cos(b*x+a)^3*csc(2*b*x+2*a)^2,x,1],
[cos(b*x+a)^3*csc(2*b*x+2*a)^3,x,1],
[cos(b*x+a)^3*csc(2*b*x+2*a)^4,x,1],
[cos(b*x+a)^3*csc(2*b*x+2*a)^5,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^(5/2),x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)/sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)/sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)/sin(2*b*x+2*a)^(5/2),x,1],
[cos(b*x+a)/sin(2*b*x+2*a)^(7/2),x,1],
[cos(b*x+a)/sin(2*b*x+2*a)^(9/2),x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^(7/2),x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^(5/2),x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)^2/sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)^2/sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)^2/sin(2*b*x+2*a)^(5/2),x,1],
[cos(b*x+a)^2/sin(2*b*x+2*a)^(7/2),x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(1/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(3/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(5/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(7/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(9/2),x,1],
[cos(b*x+a)^3/sin(2*b*x+2*a)^(11/2),x,1],
[cos(x)/sin(2*x)^(1/2),x,1],
[csc(x)*sin(2*x)^(1/2),x,1],
[cos(b*x+a)^3*sin(2*b*x+2*a)^q,x,1],
[cos(b*x+a)^2*sin(2*b*x+2*a)^q,x,1],
[cos(b*x+a)*sin(2*b*x+2*a)^q,x,1],
[cos(b*x+a)^2*sin(b*x+a)^3*sin(2*b*x+2*a)^2,x,1],
[sin(b*x+a)^10*sin(12*b*x+12*a),x,1],
[sin(b*x+a)^10*sin(12*b*x+12*a),x,1],
[sin(b*x+a)^10*sin(12*b*x+12*a),x,1],
[(e*sin(b*x+a))^m*sin((2+m)*(b*x+a)),x,1],
[(e*sin(b*x+a))^m*sin(a*(2+m)+b*(2+m)*x),x,1],
[cos(12*b*x+12*a)*sin(b*x+a)^10,x,1],
[cos(12*b*x+12*a)*sin(b*x+a)^10,x,1],
[cos(12*b*x+12*a)*sin(b*x+a)^10,x,1],
[cos((2+m)*(b*x+a))*(e*sin(b*x+a))^m,x,1],
[cos(a*(2+m)+b*(2+m)*x)*(e*sin(b*x+a))^m,x,1],
[cos(b*x+a)^10*sin(12*b*x+12*a),x,1],
[cos(b*x+a)^10*sin(12*b*x+12*a),x,1],
[cos(b*x+a)^10*sin(12*b*x+12*a),x,1],
[(e*cos(b*x+a))^m*sin((2+m)*(b*x+a)),x,1],
[(e*cos(b*x+a))^m*sin(a*(2+m)+b*(2+m)*x),x,1],
[cos(b*x+a)^10*cos(12*b*x+12*a),x,1],
[cos(b*x+a)^10*cos(12*b*x+12*a),x,1],
[cos(b*x+a)^10*cos(12*b*x+12*a),x,1],
[(e*cos(b*x+a))^m*cos((2+m)*(b*x+a)),x,1],
[(e*cos(b*x+a))^m*cos(a*(2+m)+b*(2+m)*x),x,1]]