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(x)'''</div><br/> | ||
* where '''x''' is the angle in Degrees | * where '''x''' is the angle in Degrees | ||
| − | + | ||
| − | [[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== | ||
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*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 following example shows how DSEC is applied to an array of numbers containing | + | 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" | ||
|- | |- | ||
| − | ! | + | ! Angles !! DSEC |
|- | |- | ||
| 1 || 1.000152328 | | 1 || 1.000152328 | ||
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== Examples == | == Examples == | ||
'''DSEC(x)''' | '''DSEC(x)''' | ||
| − | *'''x ''' is the angle in | + | *'''x ''' 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( | + | |'''DSEC(Degrees)''' |
|'''Value''' | |'''Value''' | ||
Revision as of 03:24, 6 November 2013
DSEC(x)
- where x is the angle in Degrees
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 'x' in degrees.
- It is the reciprocal of COS function i.e, SEC(x) = 1 / COS(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)
- 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(x)
- x 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 |