Difference between revisions of "Manuals/calci/SIN"
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− | <div style="font-size:30px">'''SIN( | + | <div style="font-size:30px">'''SIN(Number)'''</div><br/> |
− | * where ''' | + | * where '''Number''' is the angle in Radians. |
− | * by default Calci | + | * by default Calci uses Radian as angle. |
+ | **SIN(), returns the sine of the given angle. | ||
[[Manuals/calci/DSIN | DSIN]] can be used if the angle is in degrees. | [[Manuals/calci/DSIN | DSIN]] can be used if the angle is in degrees. | ||
Line 7: | Line 8: | ||
The angle can be a single value or any complex array of values. | 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 | + | 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== | ==Description== | ||
Consider '''x = 90''' then '''=SIN(RADIANS(90))''' gives '''1''' <br/> | Consider '''x = 90''' then '''=SIN(RADIANS(90))''' gives '''1''' <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'''. |
− | * To convert Radians to | + | *SIN function determines the Sine of the given angle |
− | * SIN(-x)=-SIN(x) | + | *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),where x is any Number. | ||
− | The following example shows how SIN is applied to an array of numbers containing | + | 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 in Calci | ||
Line 24: | Line 27: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
− | ! | + | ! Angles !! SIN |
|- | |- | ||
| 1 || 0.8414709848078965 | | 1 || 0.8414709848078965 | ||
Line 46: | Line 49: | ||
| 10 || -0.5440211108893698 | | 10 || -0.5440211108893698 | ||
|} | |} | ||
+ | *1..100@["z^2",SIN,COS] will display the Square value, Sin and Cos value from 1 to 100 | ||
== Examples == | == Examples == | ||
− | '''SIN( | + | '''SIN(Number)''' |
− | *''' | + | *'''Number ''' is the angle in radians. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
Line 69: | Line 73: | ||
|0.8939966636 | |0.8939966636 | ||
+ | |} | ||
+ | *d=1..10@SIN; | ||
+ | *d.columns("SIN") | ||
+ | |||
+ | {|id="TABLE1" class="SpreadSheet blue" | ||
+ | |||
+ | |- class="even" | ||
+ | |'''SIN''' | ||
+ | |||
+ | |- class="odd" | ||
+ | |0.8414709848078965 | ||
+ | |||
+ | |- class="even" | ||
+ | |0.9092974268256817 | ||
+ | |||
+ | |- class="odd" | ||
+ | |0.1411200080598672 | ||
+ | |||
+ | |- class="even" | ||
+ | | -0.7568024953079282 | ||
+ | |||
+ | |- class="odd" | ||
+ | | -0.9589242746631385 | ||
+ | |||
+ | |- class="even" | ||
+ | | -0.27941549819892586 | ||
+ | |||
+ | |- class="odd" | ||
+ | |0.6569865987187891 | ||
+ | |||
+ | |- class="even" | ||
+ | |0.9893582466233818 | ||
+ | |||
+ | |- class="odd" | ||
+ | |0.4121184852417566 | ||
+ | |||
+ | |- class="even" | ||
+ | | -0.5440211108893698 | ||
+ | |||
+ | |} | ||
+ | |||
+ | *d.io().columns(["Number","SIN"]) | ||
+ | {| class="wikitable" | ||
+ | |- | ||
+ | ! Number !! 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 | ||
+ | |} | ||
+ | |||
+ | *d.io().column("Number","SIN") | ||
+ | {| class="wikitable" | ||
+ | |- | ||
+ | ! Number !! 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 | ||
|} | |} | ||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|Jsiy4TxgIME|280|center|Sine}} | ||
==See Also== | ==See Also== | ||
+ | *[[Manuals/calci/COS | COS]] | ||
+ | *[[Manuals/calci/TAN | TAN]] | ||
+ | *[[Manuals/calci/ASIN| ASIN]] | ||
*[[Manuals/calci/DSIN | DSIN]] | *[[Manuals/calci/DSIN | DSIN]] | ||
− | |||
− | |||
==References== | ==References== | ||
Line 82: | Line 181: | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
*[http://en.wikipedia.org/wiki/Sine SIN] | *[http://en.wikipedia.org/wiki/Sine SIN] | ||
+ | |||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 07:18, 11 February 2020
SIN(Number)
- where Number is the angle in Radians.
- by default Calci uses Radian as angle.
- SIN(), returns the sine of the given 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),where x is any Number.
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 |
- 1..100@["z^2",SIN,COS] will display the Square value, Sin and Cos value from 1 to 100
Examples
SIN(Number)
- Number is the angle in radians.
SIN(Radian) | Value |
SIN(0) | 0 |
SIN(1) | 0.8414709848 |
SIN(90) | 0.8939966636 |
- d=1..10@SIN;
- d.columns("SIN")
SIN |
0.8414709848078965 |
0.9092974268256817 |
0.1411200080598672 |
-0.7568024953079282 |
-0.9589242746631385 |
-0.27941549819892586 |
0.6569865987187891 |
0.9893582466233818 |
0.4121184852417566 |
-0.5440211108893698 |
- d.io().columns(["Number","SIN"])
Number | 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 |
- d.io().column("Number","SIN")
Number | 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 |
Related Videos
See Also
References