Difference between revisions of "Manuals/calci/SIN"
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The above function gives the Sine of 'x' in Degree.<br/>. | The above function gives the Sine of 'x' in Degree.<br/>. | ||
* In a right angled triangle, '''SIN = Opposite side / Hypotenuse'''. | * In a right angled triangle, '''SIN = Opposite side / Hypotenuse'''. | ||
| + | *SIN function determines the Sine of the given angle | ||
*By default, Calci takes the angle in Radians | *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 SIN(RADIANS(x)) or DSIN(x). | |
* SIN(-x) = -SIN(x) | * SIN(-x) = -SIN(x) | ||
Revision as of 23:13, 5 November 2013
SIN(x)
- where x is the angle in Radians
- by default Calci use Radian as angle
DSIN can be used if the angle is in degrees.
The angle can be a single value or any complex array of values.
For example SIN(1..100) can give an array of the results, which is the SIN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@SIN or (-5)..(-1)@SIN.
Description
Consider x = 90 then =SIN(RADIANS(90)) gives 1
The above function gives the Sine of 'x' in Degree.
.
- In a right angled triangle, SIN = Opposite side / Hypotenuse.
- SIN function determines the Sine 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 SIN(RADIANS(x)) or DSIN(x).
- SIN(-x) = -SIN(x)
The following example shows how SIN is applied to an array of numbers containing angles 1..10.
- Type =1..10@SIN in Calci
- Type =1..10@SIN or 1..10@SIN in ZOS
| Angles | SIN |
|---|---|
| 1 | 0.8414709848078965 |
| 2 | 0.9092974268256817 |
| 3 | 0.1411200080598672 |
| 4 | -0.7568024953079282 |
| 5 | -0.9589242746631385 |
| 6 | -0.27941549819892586 |
| 7 | 0.6569865987187891 |
| 8 | 0.9893582466233818 |
| 9 | 0.4121184852417566 |
| 10 | -0.5440211108893698 |
Examples
SIN(x)
- x is the angle in radians.
| SIN(Radian) | Value |
| SIN(0) | 0 |
| SIN(1) | 0.8414709848 |
| SIN(90) | 0.8939966636 |