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The LaTeX command for cot is \cot — cotangent.
\cotWrite \cot inside math mode — that is, between $…$ for inline math or in a \[ … \] / equation block for display math. It is part of core LaTeX math, so no extra package is required.
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Use \cot in math mode — it needs no extra package. For example, $\cot_{i=1}^{n} x_i$.
None — \cot is built into LaTeX's math mode, so no extra package is required.