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replacing even powers of sin(x) by powers of (1-cos(x)^2)

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?