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Line 69: − + − + − + − + + + − *[http://en.wikipedia.org/wiki/COT COT]
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<div style="font-size:30px">'''DCOTAN(x)'''</div><br/>
<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/COTAN| COTAN]] can be used if the angle is in Radians.
[[Manuals/calci/SEC| SEC]] 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 Secant value of 'x' in degrees.<br/>
*It is the reciprocal of TAN function i.e.,'''Cotan(x)''' = '''1 / Tan(x)''' or '''Cos(x) / Sin(x)'''.<br/>
*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 '''Cotan(x) = Adjacent side / Opposite side'''.<br/>
*In a right angled triangle '''SEC(x) = Hypotenuse/Adjacent side'''.<br/>
*To obtain the value in Radians multiply with PI()/180 or use Cotan function COTAN(X)
*To obtain the value in Radians multiply with PI()/180 or use SEC function SEC(X)
*DCOTAN returns NaN if n 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.
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@DCOTAN in Calci
*Type =1..10@DSEC in Calci
*Type =1..10@DCOTAN or 1..10@DCOTAN in ZOS
*Type =1..10@DSEC or 1..10@DSEC in ZOS
{| class="wikitable"
{| class="wikitable"
|-
|-
! Number !! DCOTAN
! Number !! DSEC
|-
|-
| 1 || 0.642092616
| 1 || 0.642092616
== Examples ==
== Examples ==
'''DCOTAN(x)'''
'''DSEC(x)'''
*'''x ''' is the angle in radians.
*'''x ''' is the angle in radians.
* COTAN(-X)=-COTAN(X)
* SEC(-X)=-SEC(X)
* Result shows COTAN(abc)= NAN
* Result shows COTAN(abc)= NAN
|- class="even"
|- class="even"
|'''DCOTAN(Radian)'''
|'''DSEC(Radian)'''
|'''Value'''
|'''Value'''
|- class="odd"
|- class="odd"
| DCOTAN (100)
| DSEC(12)
| 0.1762698070846492
| 1.0223405948650293
|- class="even"
|- class="even"
| DCOTAN (20)
| DSEC(81)
| 2.7474774194546225
| 6.392453221499659
|- class="odd"
|- class="odd"
| DCOTAN (-20)
| DSEC(-81)
| 2.7474774194546225
| 6.392453221499659
|}
|}
==See Also==
==See Also==
*[[Manuals/calci/TAN | TAN]]
*[[Manuals/calci/SEC | SEC]]
*[[Manuals/calci/DTAN | DTAN]]
*[[Manuals/calci/ASEC | ASEC]]
*[[Manuals/calci/TANH | TANH]]
*[[Manuals/calci/SECH | SECH]]
*[[Manuals/calci/ASIN | ASIN]]
*[[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]