Difference between revisions of "Manuals/calci/DTAN"

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<div style="font-size:30px">'''DTAN(x)'''</div><br/>
+
<div style="font-size:30px">'''DTAN(Number)'''</div><br/>
* where '''x''' is the angle in Radians
+
*'''Number''' is the angle in Degrees.
* by default Calci use Radian as angle
+
**DTAN(),returns the double-precision tangent of given angle.
[[Manuals/calci/TAN| TAN]] can be used if the angle is in Radians.  
+
 
 +
[[Manuals/calci/TAN| TAN]] 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 DTAN(1..100) can give an array of the results, which is the TAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DTAN or (-5)..(-1)@DTAN.
 +
 
  
 
==Description==
 
==Description==
*This function is used to obtain the Cotangent value of 'x' in degrees.<br/>
+
*In a right angled triangle, '''TAN = Opposite side / Adjacent side''' or '''SIN / COS'''.<br/>
*It is the reciprocal of COT function i.e.,'''Tan(x)''' = '''1 / COT(x)''' or '''SIN(x) / COS(x)'''.<br/>
+
*This function is used to obtain the Tangent value of 'x' in Degrees.<br/>
*In a right angled triangle '''Tan(x) = Opposite side / Adjacent side'''.<br/>
+
*To obtain the value in Radians multiply with PI()/180 or use Tan function TAN(x)
*To obtain the value in Radians multiply with PI()/180 or use Tan function TAN(X)
 
 
*DTAN returns NaN if 'x' is not real
 
*DTAN 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 DTAN is applied to an array of numbers containing numbers 1..10.
+
The following example shows how DTAN is applied to an array of numbers containing angles 1..10.
 
*Type =1..10@DTAN in Calci
 
*Type =1..10@DTAN in Calci
 
*Type =1..10@DTAN or 1..10@DTAN in ZOS
 
*Type =1..10@DTAN or 1..10@DTAN in ZOS
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{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
! Number !! DTAN
+
! Angles !! DTAN
 
|-
 
|-
 
| 1 || 0.017455065
 
| 1 || 0.017455065
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== Examples ==
 
== Examples ==
 
'''DTAN(x)'''
 
'''DTAN(x)'''
*'''x  ''' is the angle in radians.
+
*'''x  ''' is the angle in degrees.
* COTAN(-X)=TAN(X)
+
* TAN(-x)=-TAN(x)
 
* Result shows TAN(abc)= NAN
 
* Result shows TAN(abc)= NAN
  
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|- class="even"
 
|- class="even"
|'''DTAN(Radian)'''
+
|'''DTAN(degrees)'''
 
|'''Value'''
 
|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
| DTAN (100)
+
| DTAN (0)
| 0.1762698070846492
+
| 0
  
 
|- class="even"
 
|- class="even"
| DTAN (20)
+
| DTAN (1)
| 2.7474774194546225
+
| 0.017455065
  
 
|- class="odd"
 
|- class="odd"
| DTAN (-20)
+
| DTAN (-45)
| 2.7474774194546225
+
| -1
  
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|Kz6tCMgat94|280|center|Trig Function Values in Degrees}}
  
 
==See Also==
 
==See Also==
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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]
 +
 +
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 15:47, 25 June 2018

DTAN(Number)


  • Number is the angle in Degrees.
    • DTAN(),returns the double-precision tangent of given angle.

TAN can be used if the angle is in Radians.
The angle can be a single value or any complex array of values.
For example DTAN(1..100) can give an array of the results, which is the TAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DTAN or (-5)..(-1)@DTAN.


Description

  • In a right angled triangle, TAN = Opposite side / Adjacent side or SIN / COS.
  • This function is used to obtain the Tangent value of 'x' in Degrees.
  • To obtain the value in Radians multiply with PI()/180 or use Tan function TAN(x)
  • DTAN returns NaN if 'x' is not real

The following example shows how DTAN is applied to an array of numbers containing angles 1..10.

  • Type =1..10@DTAN in Calci
  • Type =1..10@DTAN or 1..10@DTAN in ZOS
Angles DTAN
1 0.017455065
2 0.034920769
3 0.052407779
4 0.069926812
5 0.087488664
6 0.105104235
7 0.122784561
8 0.140540835
9 0.15838444
10 0.176326981

Examples

DTAN(x)

  • x   is the angle in degrees.
  • TAN(-x)=-TAN(x)
  • Result shows TAN(abc)= NAN
DTAN(degrees) Value
DTAN (0) 0
DTAN (1) 0.017455065
DTAN (-45) -1

Related Videos

Trig Function Values in Degrees

See Also

References