Takes the cotangent of a number (usually, an angle).

cot(*angle*)

**Menu Location**

- Press 2nd MATH to enter the MATH popup menu.
- Press A to enter the Trig submenu.
- Press 6 to select cot(.

This command requires a calculator with AMS version 2.07 or higher (it will also work on any TI-89 Titanium or Voyage 200 calculator)

1 byte

The `cot()` command returns the cotangent (the reciprocal of the `tangent`) of an angle measure. Naturally, the result depends on the angle mode the calculator is in: radian, degree, or (in AMS version 3.10) gradian. You can also use one of the ` ^{r}`,

`°`,

`marks to specify an angle mode.`

^{G}The `cot()` command, along with 11 other trig and hyperbolic functions, was added with AMS version 2.07. It can be easily replaced on earlier versions with `1/tan(x)`, which is what it simplifies to anyway.

For many common angles, `cot()` can compute an exact result. Other angles, the calculator will leave alone unless it's in approximate mode (or unless you make it approximate), and then it will give a decimal approximation. As long as the calculator is in radian mode, `cot()` can be used with complex numbers as well.

```
:cot(60°)
√3/3
:cot(x)
1/tan(x)
:cot(0)
undef
```

If `cot()` is applied to a list, it will take the cotangent of every element in the list. However, it can't be applied to matrices the way `cos()` can (this is probably an oversight; all the trig and hyperbolic functions that were present in all AMS versions work with matrices, but the ones added in version 2.07 do not).

# Error Conditions

**260 - Domain error** happens when taking `cot()` of a complex number in degree or gradian mode.