Difference between revisions of "Manuals/calci/DSEC"
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| − | <div style="font-size:30px">''' | + | <div style="font-size:30px">'''DSEC(x)'''</div><br/> |
* where '''x''' is the angle in Radians | * where '''x''' is the angle in Radians | ||
* by default Calci use Radian as angle | * by default Calci use Radian as angle | ||
| − | [[Manuals/calci/ | + | [[Manuals/calci/SEC| SEC]] can be used if the angle is in Radians. |
==Description== | ==Description== | ||
| − | *This function is used to obtain the | + | *This function is used to obtain the Secant value of 'x' in degrees.<br/> |
| − | *It is the reciprocal of | + | *It is the reciprocal of COS function i.e.,'''SEC(x)''' = '''1 / COS(x)''' or '''Cos(x) / Sin(x)'''.<br/> |
| − | *In a right angled triangle ''' | + | *In a right angled triangle '''SEC(x) = Hypotenuse/Adjacent side'''.<br/> |
| − | *To obtain the value in Radians multiply with PI()/180 or use | + | *To obtain the value in Radians multiply with PI()/180 or use SEC function SEC(X) |
| − | *DCOTAN returns NaN | + | *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. | ||
The following example shows how COTAN is applied to an array of numbers containing numbers 1..10. | The following example shows how COTAN is applied to an array of numbers containing numbers 1..10. | ||
| − | *Type =1..10@ | + | *Type =1..10@DSEC in Calci |
| − | *Type =1..10@ | + | *Type =1..10@DSEC or 1..10@DSEC in ZOS |
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! Number !! | + | ! Number !! DSEC |
|- | |- | ||
| 1 || 0.642092616 | | 1 || 0.642092616 | ||
| Line 42: | Line 42: | ||
== Examples == | == Examples == | ||
| − | ''' | + | '''DSEC(x)''' |
*'''x ''' is the angle in radians. | *'''x ''' is the angle in radians. | ||
| − | * | + | * SEC(-X)=-SEC(X) |
* Result shows COTAN(abc)= NAN | * Result shows COTAN(abc)= NAN | ||
| Line 50: | Line 50: | ||
|- class="even" | |- class="even" | ||
| − | |''' | + | |'''DSEC(Radian)''' |
|'''Value''' | |'''Value''' | ||
|- class="odd" | |- class="odd" | ||
| − | | | + | | DSEC(12) |
| − | | | + | | 1.0223405948650293 |
|- class="even" | |- class="even" | ||
| − | | | + | | DSEC(81) |
| − | | | + | | 6.392453221499659 |
|- class="odd" | |- class="odd" | ||
| − | | | + | | DSEC(-81) |
| − | | | + | | 6.392453221499659 |
|} | |} | ||
| Line 69: | Line 69: | ||
==See Also== | ==See Also== | ||
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/SEC | SEC]] |
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/ASEC | ASEC]] |
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/SECH | SECH]] |
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/COS | COS]] |
| + | *[[Manuals/calci/ACOS | ACOS]] | ||
| + | *[[Manuals/calci/DCOS| DCOS]] | ||
==References== | ==References== | ||
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] | ||
| − | |||
Revision as of 07:29, 31 October 2013
DSEC(x)
- where x is the angle in Radians
- by default Calci use Radian as angle
SEC can be used if the angle is in Radians.
Description
- This function is used to obtain the Secant value of 'x' in degrees.
- It is the reciprocal of COS function i.e.,SEC(x) = 1 / COS(x) or Cos(x) / Sin(x).
- In a right angled triangle SEC(x) = Hypotenuse/Adjacent side.
- To obtain the value in Radians multiply with PI()/180 or use SEC function SEC(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@DSEC in Calci
- Type =1..10@DSEC or 1..10@DSEC in ZOS
| Number | DSEC |
|---|---|
| 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
DSEC(x)
- x is the angle in radians.
- SEC(-X)=-SEC(X)
- Result shows COTAN(abc)= NAN
| DSEC(Radian) | Value |
| DSEC(12) | 1.0223405948650293 |
| DSEC(81) | 6.392453221499659 |
| DSEC(-81) | 6.392453221499659 |