Difference between revisions of "Manuals/calci/DCOTAN"
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<div style="font-size:30px">'''DCOTAN(x)'''</div><br/> | <div style="font-size:30px">'''DCOTAN(x)'''</div><br/> | ||
| − | * where '''x''' is the angle in | + | * where '''x''' is the angle in Degrees |
| − | * by default Calci use | + | * by default Calci use angle in Radians |
[[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. | ||
==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 if 'x' is not real | *DCOTAN returns NaN if 'x' is not real | ||
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. | ||
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'''DCOTAN(x)''' | '''DCOTAN(x)''' | ||
*'''x ''' is the angle in radians. | *'''x ''' is the angle in radians. | ||
| − | * COTAN(- | + | * COTAN(-x)=-COTAN(x) |
* Result shows COTAN(abc)= NAN | * Result shows COTAN(abc)= NAN | ||
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
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Revision as of 05:21, 5 November 2013
DCOTAN(x)
- where x is the angle in Degrees
- by default Calci use angle in Radians
COTAN can be used if the angle is in Radians.
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 angle can be a single value or any complex array of values.
The following example shows how COTAN is applied to an array of numbers containing numbers 1..10.
- Type =1..10@DCOTAN in Calci
- Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
| Number | 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 radians.
- COTAN(-x)=-COTAN(x)
- Result shows COTAN(abc)= NAN
| DCOTAN(Radian) | Value |
| DCOTAN (100) | 0.1762698070846492 |
| DCOTAN (20) | 2.7474774194546225 |
| DCOTAN (-20) | 2.7474774194546225 |