Difference between revisions of "Manuals/calci/SIN"
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* SIN function determines the sine of the given angle. | * SIN function determines the sine of the given angle. | ||
* In a right angled triangle, '''SIN = Opposite side / Hypotenuse'''. | * In a right angled triangle, '''SIN = Opposite side / Hypotenuse'''. | ||
| − | * To convert Radians to | + | * To convert Radians to Degrees, multiply with 180/PI() or use DSIN function DSIN(x) |
* SIN(-x) = -SIN(x) | * SIN(-x) = -SIN(x) | ||
| Line 24: | Line 24: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! | + | ! Angles !! SIN |
|- | |- | ||
| 1 || 0.8414709848078965 | | 1 || 0.8414709848078965 | ||
Revision as of 22:52, 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
- SIN function determines the sine of the given angle.
- In a right angled triangle, SIN = Opposite side / Hypotenuse.
- To convert Radians to Degrees, multiply with 180/PI() or use DSIN function DSIN(x)
- SIN(-x) = -SIN(x)
The following example shows how SIN is applied to an array of numbers containing numbers 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 |