Difference between revisions of "Manuals/calci/SEC"
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| − | <div style="font-size:30px">'''SEC( | + | <div style="font-size:30px">'''SEC (Number)'''</div><br/> |
| − | * where | + | * where <math>Number</math> is the angle in Radians |
| − | * by default Calci use angle in Radians | + | * by default Calci use angle in Radians. |
| + | **SEC(), returns the secant of the given angle. | ||
[[Manuals/calci/DSEC | DSEC]] can be used if the angle is in Degrees. | [[Manuals/calci/DSEC | DSEC]] can be used if the angle is in Degrees. | ||
| Line 7: | Line 8: | ||
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. | ||
| − | For example SEC(1..100) can give an array of the results, which is the SEC value for each of the elements in the array. The array could be of any | + | For example SEC(1..100) can give an array of the results, which is the SEC value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@SEC or (-5)..(-1)@SEC. |
==Description== | ==Description== | ||
Consider '''x = 0''' then '''=SEC(RADIANS(0))''' gives '''1''' <br/> | Consider '''x = 0''' then '''=SEC(RADIANS(0))''' gives '''1''' <br/> | ||
| − | + | The above function gives the Secant of a number in Degree.<br/> | |
| − | The above function gives the Secant of | + | *Sec function gives the Secant of angle. |
| − | *In a right angled triangle, '''SEC = Adjacent | + | *This function is the reciprocal of COS function. i.e, '''Sec(x) = 1 / Cos(x)'''where x is any Number. |
| + | *In a right angled triangle, '''SEC = Hypotenuse/Adjacent side'''.<br/> | ||
*By default, Calci takes the angle in Radians. | *By default, Calci takes the angle in Radians. | ||
| − | * To convert | + | * To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function SEC(RADIANS(x)) or DSEC(x). |
| + | *SEC(RADIANS(90))= 16331778728383844 ie, approximately= Infinity. So for calculation we consider SEC(RADIANS(90))=Infinity | ||
| − | The following example shows how SEC is applied to an array of numbers containing | + | The following example shows how SEC is applied to an array of numbers containing angles 1..10. |
1..10@SEC | 1..10@SEC | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! | + | ! Angles !! SEC |
|- | |- | ||
| 1 ||1.85081571768092 | | 1 ||1.85081571768092 | ||
| Line 48: | Line 51: | ||
== Examples == | == Examples == | ||
| − | '''SEC( | + | '''SEC(Number)''' |
| − | *''' | + | *'''Number ''' is the angle in radians. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
| Line 69: | Line 72: | ||
| -2.2317761278577963 | | -2.2317761278577963 | ||
|} | |} | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|Q7htxHDN8LE|280|center|Secant}} | ||
==See Also== | ==See Also== | ||
| Line 80: | Line 87: | ||
*[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 14:36, 3 July 2018
SEC (Number)
- where is the angle in Radians
- by default Calci use angle in Radians.
- SEC(), returns the secant of the given angle.
is the angle in RadiansDSEC can be used if the angle is in Degrees.
The angle can be a single value or any complex array of values.
For example SEC(1..100) can give an array of the results, which is the SEC value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@SEC or (-5)..(-1)@SEC.
Description
Consider x = 0 then =SEC(RADIANS(0)) gives 1
The above function gives the Secant of a number in Degree.
- Sec function gives the Secant of angle.
- This function is the reciprocal of COS function. i.e, Sec(x) = 1 / Cos(x)where x is any Number.
- In a right angled triangle, SEC = Hypotenuse/Adjacent side.
- By default, Calci takes the angle in Radians.
- To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function SEC(RADIANS(x)) or DSEC(x).
- SEC(RADIANS(90))= 16331778728383844 ie, approximately= Infinity. So for calculation we consider SEC(RADIANS(90))=Infinity
The following example shows how SEC is applied to an array of numbers containing angles 1..10.
1..10@SEC
| Angles | SEC |
|---|---|
| 1 | 1.85081571768092 |
| 2 | -2.40299796172238 |
| 3 | -1.01010866590799 |
| 4 | -1.52988565646639 |
| 5 | 3.52532008581608 |
| 6 | 1.0414819265951 |
| 7 | 1.3264319004737 |
| 8 | -6.87285063669037 |
| 9 | -1.09753790630496 |
| 10 | -1.19179350668789 |
Examples
SEC(Number)
- Number is the angle in radians.
| SEC(Radian) | Value |
| SEC(0) | 1 |
| SEC(1) | 1.8508157176809255 |
| SEC(90) | -2.2317761278577963 |
Related Videos
See Also
References