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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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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. – J. M. 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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+1 for good advice. – Rick Decker Aug 7 '12 at 15:44

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