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Working with series

I can't get how to work with series. I do

sage: R.<t> = PowerSeriesRing(QQ)
sage: t^2
t^2
sage: sin(t)


but the last rises an error. I want to do usual manipulations like sin(t)/cos(t+2)^2.

Working with series

I can't get how to work with series. I do

sage: R.<t> = PowerSeriesRing(QQ)
sage: t^2
t^2
sage: sin(t)


but the last rises an error. I want to do usual manipulations like sin(t)/cos(t+2)^2.sin(t)/cos(t+2)^2.