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What is the best way to denote tangent and other trigonometric functions: tg or tan, ctg or cot. What notation is commonly used and standardized?

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    $\begingroup$ FWIW: I'd not say $\tan$ and $\cot$ are "best", but they are the notation that more people understand than $\mathrm{tg}$ and $\mathrm{ctg}$. So, if you're writing for a wide audience, you might consider using the more popular ones. $\endgroup$ – J. M. is a poor mathematician Aug 7 '12 at 11:57
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In current US textbooks, $\tan$ and $\cot$ are commonly used and standardized. Also: $\sin, \cos, \sec, \csc$. In other countries, and in the 19th century, you will find others.

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Some people are familiar with tg and some people are familiar with tan.So, for wide use just define the notation.It solve your's problem I think.

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Standard

ISO 80000-2 Quantities and units — Part 2: Mathematical signs and symbols to be used in the natural sciences and technology

is perfectly clear: the right symbols are $\tan x$ (item 2-13.4) and $\cot x$ (item 2-13.5).

To cite the standard: "$\text{tg } x$, $\text{ctg } x$ should not be used."

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  • $\begingroup$ +1. Do you have a source for the ISO passages? The only thing I can find on ISO.org is an unhelpful preview and a link to purchase the document; perhaps I didn't look hard enough. The Wikipedia "ISO 80000-2" entry only makes passing reference to "sin" and "tanh" (and "arcsin" and "artanh"). (Interestingly, the entry reports that "$\sin^{-1}$" and "$\tanh^{-1}$" aren't included in the standard. I'm not sure what to think about that.) $\endgroup$ – Blue Feb 1 at 21:12
  • $\begingroup$ @Blue I have access to these standards. They are rather expensive, so their publisher is doing everything it can to disable free access. If you have a specific question I can look into standard for you. $\endgroup$ – Pygmalion Feb 1 at 21:31

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