Difference between revisions of "Manuals/calci/DSEC"

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<div style="font-size:30px">'''DSEC(x)'''</div><br/>
+
<div style="font-size:30px">'''DSEC(Number)'''</div><br/>
* where '''x''' is the angle in Degrees
+
* '''Number''' is the angle in Degrees.
* by default Calci use Radian as angle
+
**DSEC(),returns the double-precision secant of the given angle
[[Manuals/calci/SEC| SEC]] can be used if the angle is in Radians.  
+
 
 +
[[Manuals/calci/SEC| SEC]] 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 DSEC(1..100) can give an array of the results, which is the SECANT value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@DSEC or (-5)..(-1)@DSEC.  
  
 
==Description==
 
==Description==
*This function is used to obtain the Secant value of 'x' in degrees.<br/>
+
*This function is used to obtain the Secant value of any Number in degrees.
*It is the reciprocal of COS function i.e, '''SEC(x)''' = '''1 / COS(x)'''.<br/>
+
*It is the reciprocal of COS function i.e, '''SEC(x)''' = '''1 / COS(x)'''.Here x is any Number.
 
*In a right angled triangle '''SEC(x) = Hypotenuse / Adjacent 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 SEC function SEC(x)
 
*To obtain the value in Radians multiply with PI()/180 or use SEC function SEC(x)
 
*DSEC returns NaN if 'x' is not real
 
*DSEC 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 DSEC is applied to an array of numbers containing numbers 1..10.
+
The following example shows how DSEC is applied to an array of numbers containing angles 1..10.
 
*Type =1..10@DSEC in Calci
 
*Type =1..10@DSEC in Calci
 
*Type =1..10@DSEC or 1..10@DSEC in ZOS
 
*Type =1..10@DSEC or 1..10@DSEC in ZOS
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{| class="wikitable"
 
{| class="wikitable"
 
|-
 
|-
! Number !! DSEC
+
! Angles !! DSEC
 
|-
 
|-
 
| 1 || 1.000152328
 
| 1 || 1.000152328
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== Examples ==
 
== Examples ==
'''DSEC(x)'''
+
'''DSEC(Number)'''
*'''x  ''' is the angle in radians.
+
*'''Number ''' is the angle in degrees.
 
* SEC(-x)=-SEC(x)
 
* SEC(-x)=-SEC(x)
 
* Result shows DSEC(abc)= NAN
 
* Result shows DSEC(abc)= NAN
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|- class="even"
 
|- class="even"
|'''DSEC(Radian)'''
+
|'''DSEC(Degrees)'''
 
|'''Value'''
 
|'''Value'''
  
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|}
 
|}
 +
 +
==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 16:37, 25 June 2018

DSEC(Number)


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

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

Description

  • This function is used to obtain the Secant value of any Number in degrees.
  • It is the reciprocal of COS function i.e, SEC(x) = 1 / COS(x).Here x is any Number.
  • 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)
  • DSEC returns NaN if 'x' is not real

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

  • Type =1..10@DSEC in Calci
  • Type =1..10@DSEC or 1..10@DSEC in ZOS
Angles DSEC
1 1.000152328
2 1.000609544
3 1.001372346
4 1.002441898
5 1.003819838
6 1.00550828
7 1.007509825
8 1.009827573
9 1.012465126
10 1.015426612

Examples

DSEC(Number)

  • Number  is the angle in degrees.
  • SEC(-x)=-SEC(x)
  • Result shows DSEC(abc)= NAN
DSEC(Degrees) Value
DSEC(12) 1.0223405948650293
DSEC(81) 6.392453221499659
DSEC(-81) 6.392453221499659

Related Videos

Trig Function Values in Degrees

See Also

References