Hi folks, I would like to force sage to take an expression like
f = cos(x)(sin(x))^2+cos(x)^3(sin(x))^5
and replace the even powers of sin(x) by powers of (1-cos(x)^2), so that the above would become
f=cos(x)(1-cos(x)^2)+cos(x)^3(1-cos(x)^2)^2*sin(x)
Any suggestions?