Difference between revisions of "Manuals/calci/COS"
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*COS function determines the Cosine of the given angle. | *COS function determines the Cosine of the given angle. | ||
*By default, Calci takes the angle in Radians. | *By default, Calci takes the angle in Radians. | ||
| − | *COS(RADIANS(90))= 6.123031769111886e-17. So for calculation we consider COS(RADIANS(90))=0 | + | *COS(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COS(RADIANS(90))=0 |
* To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).<br/> | * To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).<br/> | ||
Revision as of 06:32, 6 November 2013
COS(x)
- where x is the angle in Radians
- by default Calci use Radian as 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.
- COS(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COS(RADIANS(90))=0
- To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COS(RADIANS(x)) or DCOS(x).
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) | 0 |
| COS(1) | 0.54030230586 |
| COS(90) | -0.44807361612 |