The COS() function returns the cosine of a given number, which is expressed in radians.
Syntax
COS(number)
Definition and Usage
- The
COS()function computes the cosine of a number (in radians). - The value returned is a number between -1 and 1.
Parameter Values
| Parameter | Description |
|---|---|
number |
Required. A numeric value (in radians) to calculate the cosine for. |
Technical Details
- Works in: From MySQL 4.0
- Result: Returns a numeric value (between -1 and 1).
Examples
Example 1: Cosine of a number
SELECT COS(2) AS Result;
Result:
Result: -0.416146836
Explanation: The cosine of 2 radians is -0.416146836.
Example 2: Cosine of Pi
SELECT COS(PI()) AS Result;
Result:
Result: -1
Explanation: The cosine of π radians is -1.
Example 3: Cosine of a specific angle
If you want to calculate the cosine of a particular angle in degrees, you first need to convert it to radians:
SELECT COS(RADIANS(60)) AS Result;
Result:
Result: 0.5
Explanation: 60 degrees is converted to radians and then the cosine is calculated, which is 0.5.
Usage Notes
-
Radians:
- The
COS()function requires the angle to be provided in radians. If the angle is in degrees, you need to convert it using theRADIANS()function.
- The
-
Mathematical Context:
- The cosine function is frequently used in trigonometry, physics, and geometry, especially in calculations involving waves, rotations, and oscillations.
Practical Query Example:
Calculate the cosine of a rotating object at 45 degrees:
SELECT COS(RADIANS(45)) AS CosineOf45Degrees;
Result:
CosineOf45Degrees: 0.707106781
The COS() function is essential for performing trigonometric operations in MySQL when dealing with angular calculations, waves, and various other mathematical computations.