# MySQL ASIN() function

## ASIN() function

**MySQL ASIN()** returns the arc sine of a number. The function returns NULL when the value of the number is not between the ranges -1 to 1. It's a mathematical function that finds the angle whose sine is the specified number.

This function is useful in -

- It's used to find angles in right triangles and is widely applied in fields like physics, engineering, and astronomy.
- While SIN() takes an angle and returns its sine, ASIN() takes a sine value and returns the angle.
- In geometry and applications dealing with coordinates and vectors, ASIN() is used to calculate angles between vectors or lines.
- ASIN() is used in the calculation of arc lengths in circular segments, especially when dealing with circles and sectors.
- In robotics and animation, ASIN() plays a crucial role in solving the inverse kinematics problem, which involves finding joint angles to position an end effector in a desired location.
- In computer graphics and animation, ASIN() is used to determine the angles for smooth transitions between orientations of 3D objects.

**Syntax:**

ASIN(N)

**Argument:**

Name | Description |
---|---|

N | A number whose arch sine value is to be retrieved. |

**Syntax Diagram:**

**MySQL Version: 8.0**

**Example: **

Code:

```
SELECT ASIN(4);
```

**Explanation:**

The above MySQL statement will return NULL because the number specified as an argument is exceeding the range which can be accepted.

Output:

mysql> SELECT ASIN(4); +---------+ | ASIN(4) | +---------+ | NULL | +---------+ 1 row in set (0.02 sec)

**Example: ASIN() function using fractional number**

Code:

```
SELECT ASIN(.4);
```

**Explanation:**

The above MySQL statement will return the sine value of the number specified as an argument.

Output:

mysql> SELECT ASIN(.4); +-------------------+ | ASIN(.4) | +-------------------+ | 0.411516846067488 | +-------------------+ 1 row in set (0.01 sec)

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