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?
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