restart:f:= sin(x)/(2-cos(x));c1:=simplify(int(f*sin(x),x=-Pi..Pi)/int((sin(x)^2),x=-Pi..Pi));c2:=simplify(int(f*sin(2*x),x=-Pi..Pi)/int((sin(2*x)^2),x=-Pi..Pi));c3:=simplify(int(f*sin(3*x),x=-Pi..Pi)/int((sin(3*x)^2),x=-Pi..Pi));c4:=simplify(int(f*sin(4*x),x=-Pi..Pi)/int((sin(4*x)^2),x=-Pi..Pi));c5:=simplify(int(f*sin(5*x),x=-Pi..Pi)/int((sin(5*x)^2),x=-Pi..Pi));g:= c1*sin(x) + c2*sin(2*x) + c3*sin(3*x) + c4*sin(4*x) + c5*sin(5*x);plot([f,g],x=-Pi..Pi,color=[red,blue],style=[line,point]);plot(f-g,x=-Pi..Pi);