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sin, cos, tan, sec, csc, cot? Anyone else with math and another language background care to comment?
Russian + math: sin, cos, tg, sec, (?), ctg... I am not sure what is csc... cosecans? then cosec
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Ridicolous to say, I am the last person apt to give a definitive answer. Mostly because I don't care about names, and simply try to understand from the context.
A rose without its name, wouldn't be a rose?
So I can ask the same question about numbers in "high" or "low" way:
example:
how many different decimal representation can a real number have?
Or
0,9999999999999999999....is or not equal to one?
To understand the second question implies to have understood the core of the first one.
(Anyway, Bean, you were perfect in your list of sets of numbers. Just a comment about irrational numbers . I have always seen them written as "R\Q" = real not rationa numbers)
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I forgot to add the answer
Yes,
0,99999999...... is equal to 1.
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0,9999999999999999999....is or not equal to one?
I've seen it argued that, since 1/3*3=1 and 0.33333333333…+0.33333333333…+0.33333333333…=0.99999999999… then 0.99999999999…=1. On the other hand, I would maintain that 0.99999999999… is in the open interval between 0 and 1, but 1 is not, therefore 0.99999999999… does not = 1
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Dear Faldage: and I still think parallel lines can never meet.
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"Infinity" was once *disproved to me by this explaination:
Take your thumb and your forefinger and spread them apart as far as possible. This represents a distance. Now make that distance one half as large. Continue to cut the distance between them in half.
Theoretically, your thumb and forefinger will never actually® touch each other.
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0,99999999...... is equal to 1.
Does this mean that 0.9999999999… is not in the open interval from 0 to 1?
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in both places
1 is in the closed interval but not the open interval; 0.99999999999999999999999 (without the ellipsis) is in the open interval, no matter how many 9s you tack onto the end. Or so I thought.
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