# 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)
```

All Mathematical Functions

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