# Manuals/calci/COS

COS(Number)

• Number is the angle value in Radians
• by default Calci use Radian as angle.
• COS() returns the cosine of the given angle

DCOS can be used if the angle is in degrees.

The angle can be a single value or any complex array of values.

For example COS(1..100) can give an array of the results, which is the COS value for each of the elements in the array.

• The array could be of any values either '+' or '-' like 1..5@COS or (-5)..(-1)@COS.

## Description

Consider     x = 60    then     =COS(RADIANS(60))    gives    0.5000000000000001 that is approximate to 0.5
The above function gives the Cosine of 'x' in Degree.

• In a right angled triangle,   COS = Adjacent side / Hypotenuse.
• COS function determines the Cosine of the given angle.
• By default, Calci takes the angle in Radians.
• To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).
• COS(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COS(RADIANS(90))=0

The following example shows how COS is applied to an array of numbers containing Angles 1..10.

1..10@COS

Angles COS
1 0.54030230586
2 -0.41614683654
3 -0.9899924966
4 -0.65364362086
5 0.28366218546
6 0.96017028665
7 0.75390225434
8 -0.1455000338
9 -0.91113026188
10 -0.83907152907

## Examples

COS(x)

• x   is the angle in radians.
 COS(Radian) Value COS(0) 1 COS(1) 0.54030230586 COS(90) -0.44807361612
• 1..100@["z^2",SIN,COS] will display the Square value, Sin and Cos value from 1 to 100.

Cosine