but when i lookup tg in a paper table (last decade math book) i've got these 
values:

tg(63'10'') = 1.9768
tg(63'20'') = 1.9912
tg(63'30'') = 2.0057

For me python should return something more like 63'2x'' than 63'4x''(becasue 
63'30'' is higher than 2.0)

what's wrong?

63° 30" is 63.5°. So nothing is wrong. (You know, 1° = 60 arc second!)
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