Difference between revisions of "Manuals/calci/DCOTAN"
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| − | <div style="font-size:30px">'''DCOTAN( | + | <div style="font-size:30px">'''DCOTAN(Number)'''</div><br/> |
| − | * | + | * '''Number''' is the angle in Degrees. |
| − | * | + | **DCOTAN(),returns the double-precision cotangent of the given angle. |
| − | [[Manuals/calci/COTAN| COTAN]] can be used if the angle is in Radians. | + | |
| + | [[Manuals/calci/COTAN| COTAN]] can be used if the angle is in Radians.<br/> | ||
| + | The angle can be a single value or any complex array of values.<br/> | ||
| + | For example DCOTAN(1..100) can give an array of the results, which is the COTAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DCOTAN or (-5)..(-1)@DCOTAN. | ||
==Description== | ==Description== | ||
*This function is used to obtain the Cotangent value of 'x' in degrees.<br/> | *This function is used to obtain the Cotangent value of 'x' in degrees.<br/> | ||
| − | *It is the reciprocal of TAN function i.e | + | *It is the reciprocal of TAN function i.e, '''Cotan(x)''' = '''1 / Tan(x)''' or '''Cos(x) / Sin(x)'''.<br/> |
*In a right angled triangle '''Cotan(x) = Adjacent side / Opposite side'''.<br/> | *In a right angled triangle '''Cotan(x) = Adjacent side / Opposite side'''.<br/> | ||
| − | *To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN( | + | *To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(x) |
| − | *DCOTAN returns NaN | + | *DCOTAN returns NaN if 'x' is not real |
| − | |||
| − | The following example shows how COTAN is applied to an array of numbers containing | + | The following example shows how COTAN is applied to an array of numbers containing angles 1..10. |
*Type =1..10@DCOTAN in Calci | *Type =1..10@DCOTAN in Calci | ||
*Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS | *Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! | + | ! Angles !! DCOTAN |
|- | |- | ||
| 1 || 0.642092616 | | 1 || 0.642092616 | ||
| Line 43: | Line 45: | ||
== Examples == | == Examples == | ||
'''DCOTAN(x)''' | '''DCOTAN(x)''' | ||
| − | *'''x ''' is the angle in | + | *'''x ''' is the angle in degrees. |
| − | * COTAN(- | + | * COTAN(-x)=-COTAN(x) |
* Result shows COTAN(abc)= NAN | * Result shows COTAN(abc)= NAN | ||
| Line 50: | Line 52: | ||
|- class="even" | |- class="even" | ||
| − | |'''DCOTAN( | + | |'''DCOTAN(Degrees)''' |
|'''Value''' | |'''Value''' | ||
|- class="odd" | |- class="odd" | ||
| DCOTAN (100) | | DCOTAN (100) | ||
| − | | 0.1762698070846492 | + | | -0.1762698070846492 |
|- class="even" | |- class="even" | ||
| Line 63: | Line 65: | ||
|- class="odd" | |- class="odd" | ||
| DCOTAN (-20) | | DCOTAN (-20) | ||
| − | | 2.7474774194546225 | + | | -2.7474774194546225 |
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|Kz6tCMgat94|280|center|Trig Function Values in Degrees}} | ||
==See Also== | ==See Also== | ||
| Line 77: | Line 83: | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
| − | *[ | + | |
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:17, 25 June 2018
DCOTAN(Number)
- Number is the angle in Degrees.
- DCOTAN(),returns the double-precision cotangent of the given angle.
COTAN can be used if the angle is in Radians.
The angle can be a single value or any complex array of values.
For example DCOTAN(1..100) can give an array of the results, which is the COTAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DCOTAN or (-5)..(-1)@DCOTAN.
Description
- This function is used to obtain the Cotangent value of 'x' in degrees.
- It is the reciprocal of TAN function i.e, Cotan(x) = 1 / Tan(x) or Cos(x) / Sin(x).
- In a right angled triangle Cotan(x) = Adjacent side / Opposite side.
- To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(x)
- DCOTAN returns NaN if 'x' is not real
The following example shows how COTAN is applied to an array of numbers containing angles 1..10.
- Type =1..10@DCOTAN in Calci
- Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
| Angles | DCOTAN |
|---|---|
| 1 | 0.642092616 |
| 2 | -0.457657554 |
| 3 | -7.015252551 |
| 4 | 0.863691154 |
| 5 | -0.295812916 |
| 6 | -3.436353004 |
| 7 | 1.147515422 |
| 8 | -0.147065064 |
| 9 | -2.210845411 |
| 10 | 1.542351045 |
Examples
DCOTAN(x)
- x is the angle in degrees.
- COTAN(-x)=-COTAN(x)
- Result shows COTAN(abc)= NAN
| DCOTAN(Degrees) | Value |
| DCOTAN (100) | -0.1762698070846492 |
| DCOTAN (20) | 2.7474774194546225 |
| DCOTAN (-20) | -2.7474774194546225 |
Related Videos
See Also
References