# How the COT() function works in Mariadb?

The `COT()`

function is a mathematical function that returns the cotangent of a given angle. The function returns a decimal value that represents the cotangent of the angle in radians.

The `COT()`

function is a mathematical function that returns the cotangent of a given angle. The function returns a decimal value that represents the cotangent of the angle in radians. The function can handle angles in degrees, by using the `RADIANS()`

function to convert them to radians.

## Syntax

The syntax of the `COT()`

function is as follows:

```
COT(angle)
```

The function takes one argument, `angle`

, which is the angle to be calculated. The argument can be a number or an expression that evaluates to a number. The function returns NULL if the argument is NULL or invalid.

## Examples

### Example 1: Calculating the cotangent of a zero angle

The following example uses the `COT()`

function to calculate the cotangent of a zero angle.

```
SELECT COT(0);
```

The output is:

```
+--------+
| COT(0) |
+--------+
| NULL |
+--------+
```

The output shows that the function returns NULL, as expected. The function returns NULL if the argument is zero, as the cotangent of zero is undefined.

### Example 2: Calculating the cotangent of a 45-degree angle

The following example uses the `COT()`

function to calculate the cotangent of a 45-degree angle. The angle is converted to radians by using the `RADIANS()`

function.

```
SELECT COT(RADIANS(45));
```

The output is:

```
+-----------------+
| COT(RADIANS(45)) |
+-----------------+
| 1 |
+-----------------+
```

The output shows that the cotangent of a 45-degree angle is 1, as expected.

### Example 3: Calculating the cotangent of a negative angle

The following example uses the `COT()`

function to calculate the cotangent of a negative angle. The angle is -30 degrees, which is equivalent to 330 degrees.

```
SELECT COT(RADIANS(-30));
```

The output is:

```
+------------------+
| COT(RADIANS(-30)) |
+------------------+
| -1.73205080756888 |
+------------------+
```

The output shows that the cotangent of a negative angle is the same as the cotangent of the corresponding positive angle, as expected.

### Example 4: Calculating the cotangent of a large angle

The following example uses the `COT()`

function to calculate the cotangent of a large angle. The angle is 720 degrees, which is equivalent to 0 degrees.

```
SELECT COT(RADIANS(720));
```

The output is:

```
+------------------+
| COT(RADIANS(720)) |
+------------------+
| NULL |
+------------------+
```

The output shows that the function returns NULL, as expected. The function returns NULL if the argument is a multiple of 180 degrees, as the cotangent of such angles is undefined.

### Example 5: Calculating the cotangent of an invalid angle

The following example uses the `COT()`

function to calculate the cotangent of an invalid angle. The angle is a string that cannot be converted to a number.

```
SELECT COT('Hello');
```

The output is:

```
+-----------+
| COT('Hello') |
+-----------+
| NULL |
+-----------+
```

The output shows that the function returns NULL, as expected. The function returns NULL if the argument is NULL or invalid.

## Related Functions

There are some other functions that are related to the `COT()`

function in Mariadb. They are:

`TAN()`

: This function returns the tangent of a given angle.`COS()`

: This function returns the cosine of a given angle.`SIN()`

: This function returns the sine of a given angle.`ACOT()`

: This function returns the arc cotangent of a given value.`RADIANS()`

: This function converts an angle in degrees to radians.`DEGREES()`

: This function converts an angle in radians to degrees.

## Conclusion

The `COT()`

function is a useful function to calculate the cotangent of a given angle. It returns a decimal value that represents the cotangent of the angle in radians. It can handle angles in degrees, by using the `RADIANS()`

function to convert them to radians. It is similar to the `TAN()`

function, but with a different trigonometric ratio. It is also related to some other functions that provide inverse or conversion operations on angles or values.