Related sequences not related in database + question

[Tautócrona]

Hi:

In hot sequences I've seen the integer part of tan(n), namely the seq A000503

In the database there'are also the integer parts of sin and cos and the rounding of sin 
and cos, but they don't appear in "related sequences" for A000503.

Their seq numbers are, respectively, A000493, A000480, A000494, A000484

Can anyone put all these sequences as related?

By the way, are all substrings of {floor(sin(n))} contained in {floor(cos(n))} and 
conversely ? Any results about this type of statements?

Regards. Jose Brox
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