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.

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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.

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.