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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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.
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.