Difference between revisions of "Manuals/calci/COSEC"
Jump to navigation
Jump to search
| Line 3: | Line 3: | ||
* by default, Calci use angle in Radians | * by default, Calci use angle in Radians | ||
| − | [[Manuals/calci/ | + | [[Manuals/calci/DCOSEC | DCOSEC]] can be used if the angle is in Degrees. |
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 COSEC(1..100) can give an array of the results, which is the COSEC value for each of the elements in the array. The array could be of any | + | For example COSEC(1..100) can give an array of the results, which is the COSEC value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@COSEC or (-5)..(-1)@COSEC. |
==Description== | ==Description== | ||
Consider '''x = 90''' then '''=COSEC(RADIANS(90))''' gives '''1''' <br/> | Consider '''x = 90''' then '''=COSEC(RADIANS(90))''' gives '''1''' <br/> | ||
| − | * | + | The above function gives the Cosecant of 'x' in Degree.<br/> |
| + | *Cosec function gives the Cosecant of angle 'x'. | ||
*This function is the reciprocal of SIN function. i.e, '''Cosec(x) = 1 / Sin(x)'''. | *This function is the reciprocal of SIN function. i.e, '''Cosec(x) = 1 / Sin(x)'''. | ||
*In a right angled triangle '''Cosec(x) = Hypotenuse / Opposite side'''. | *In a right angled triangle '''Cosec(x) = Hypotenuse / Opposite side'''. | ||
*Here x is in Radians. | *Here x is in Radians. | ||
| − | *To convert | + | *To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COSEC(RADIANS(x)) or DCOSEC(x).<br/> |
| − | The following example shows how COSEC is applied to an array of numbers containing | + | The following example shows how COSEC is applied to an array of numbers containing angles 1..10. |
* Type =1..10@COSEC in Calci | * Type =1..10@COSEC in Calci | ||
* Type =1..10@COSEC or 1..10@COSEC in [[ZOS]] | * Type =1..10@COSEC or 1..10@COSEC in [[ZOS]] | ||
| Line 23: | Line 24: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! | + | ! Angles !! COSEC |
|- | |- | ||
| 1 || 1.1883951057781212 | | 1 || 1.1883951057781212 | ||
Revision as of 00:48, 6 November 2013
COSEC(x)
- where x is the angle in Radians
- by default, Calci use angle in Radians
DCOSEC can be used if the angle is in Degrees.
The angle can be a single value or any complex array of values.
For example COSEC(1..100) can give an array of the results, which is the COSEC value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@COSEC or (-5)..(-1)@COSEC.
Description
Consider x = 90 then =COSEC(RADIANS(90)) gives 1
The above function gives the Cosecant of 'x' in Degree.
- Cosec function gives the Cosecant of angle 'x'.
- This function is the reciprocal of SIN function. i.e, Cosec(x) = 1 / Sin(x).
- In a right angled triangle Cosec(x) = Hypotenuse / Opposite side.
- Here x is in Radians.
- To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COSEC(RADIANS(x)) or DCOSEC(x).
The following example shows how COSEC is applied to an array of numbers containing angles 1..10.
- Type =1..10@COSEC in Calci
- Type =1..10@COSEC or 1..10@COSEC in ZOS
| Angles | COSEC |
|---|---|
| 1 | 1.1883951057781212 |
| 2 | 1.0997501702946164 |
| 3 | 7.086167395737187 |
| 4 | -1.3213487088109024 |
| 5 | -1.0428352127714058 |
| 6 | -3.5788995472544056 |
| 7 | 1.5221010625637303 |
| 8 | 1.010756218400097 |
| 9 | 2.426486643551989 |
| 10 | -1.8381639608896658 |
Examples
COSEC(x)
- x is the angle in radians.
| COSEC(Radian) | Value |
| COSEC(0) | infinity |
| COSEC(1) | 1.1883951057781212 |
| COSEC(90) | 1.1185724071637084 |