Difference between revisions of "Manuals/calci/TAN"
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| − | <div style="font-size:30px">'''TAN( | + | <div style="font-size:30px">'''TAN(Number)'''</div><br/> |
| − | * where ''' | + | * where '''Number''' is the angle in Radians |
| − | * by default Calci use | + | * by default, Calci use angle in Radians. |
| + | **TAN(), returns the tangent of the given angle | ||
| − | [[Manuals/calci/DTAN | DTAN]] can be used if the angle is in degrees. | + | [[Manuals/calci/DTAN | DTAN]] 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 | + | For example TAN(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@TAN or (-5)..(-1)@TAN. |
| − | + | ||
==Description== | ==Description== | ||
| − | Consider '''x = | + | Consider '''x = 60''' then '''=TAN(RADIANS(60))''' gives '''1.7320508075688767''' that is similar to <math>\sqrt{3}</math> <br/> |
| − | * SIN function determines the | + | The above function gives the Tangent of 'x' in Degree.<br/> |
| − | + | *In a right angled triangle, '''TAN = Opposite side / Adjacent side''' or '''SIN / COS'''.<br/> | |
| − | The following example shows how | + | *TAN function determines the Tangent of the given angle. |
| + | *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 like TAN(RADIANS(x)) or DTAN(x) | ||
| + | *TAN(RADIANS(45))= 0.9999999999999999. i.e, approximately = 1. So for calculation we consider TAN(RADIANS(45))=1 | ||
| + | The following example shows how TAN is applied to an array of numbers containing angles 1..10. | ||
1..10@TAN | 1..10@TAN | ||
| Line 19: | Line 24: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| − | ! | + | ! Angles !! TAN |
|- | |- | ||
| − | | 1 || | + | | 1 || 1.55740772465 |
|- | |- | ||
| − | | 2 || | + | | 2 || -2.18503986326 |
|- | |- | ||
| − | | 3 || 0. | + | | 3 || -0.14254654307 |
|- | |- | ||
| − | | 4 || | + | | 4 || 1.15782128235 |
|- | |- | ||
| − | | 5 || - | + | | 5 ||-3.38051500625 |
|- | |- | ||
| − | | 6 || -0. | + | | 6 || -0.29100619138 |
|- | |- | ||
| − | | 7 || 0. | + | | 7 || 0.87144798272 |
|- | |- | ||
| − | | 8 || | + | | 8 || -6.79971145522 |
|- | |- | ||
| − | | 9 || 0. | + | | 9 || -0.45231565944 |
|- | |- | ||
| − | | 10 || | + | | 10 || 0.64836082745 |
|} | |} | ||
== Examples == | == Examples == | ||
| − | ''' | + | '''TAN(Number)''' |
| − | *''' | + | *'''Number ''' is the angle in Radians. |
{|id="TABLE1" class="SpreadSheet blue" | {|id="TABLE1" class="SpreadSheet blue" | ||
| Line 57: | Line 62: | ||
|- class="even" | |- class="even" | ||
| − | | | + | | TAN(1) |
| − | | | + | | 1.55740772465 |
|- class="odd" | |- class="odd" | ||
|TAN(90) | |TAN(90) | ||
| − | | | + | | -1.99520041221 |
|} | |} | ||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|Jsiy4TxgIME|280|center|Tangent}} | ||
==See Also== | ==See Also== | ||
| Line 71: | Line 79: | ||
*[[Manuals/calci/DTAN | DTAN]] | *[[Manuals/calci/DTAN | DTAN]] | ||
| − | *[[Manuals/calci/ | + | *[[Manuals/calci/ATAN | ATAN]] |
==References== | ==References== | ||
*[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 16:17, 3 July 2018
TAN(Number)
- where Number is the angle in Radians
- by default, Calci use angle in Radians.
- TAN(), returns the tangent of the given angle
DTAN can be used if the angle is in degrees.
The angle can be a single value or any complex array of values.
For example TAN(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@TAN or (-5)..(-1)@TAN.
Description
Consider x = 60 then =TAN(RADIANS(60)) gives 1.7320508075688767 that is similar to
The above function gives the Tangent of 'x' in Degree.
- In a right angled triangle, TAN = Opposite side / Adjacent side or SIN / COS.
- TAN function determines the Tangent of the given angle.
- 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 like TAN(RADIANS(x)) or DTAN(x)
- TAN(RADIANS(45))= 0.9999999999999999. i.e, approximately = 1. So for calculation we consider TAN(RADIANS(45))=1
The following example shows how TAN is applied to an array of numbers containing angles 1..10.
1..10@TAN
| Angles | TAN |
|---|---|
| 1 | 1.55740772465 |
| 2 | -2.18503986326 |
| 3 | -0.14254654307 |
| 4 | 1.15782128235 |
| 5 | -3.38051500625 |
| 6 | -0.29100619138 |
| 7 | 0.87144798272 |
| 8 | -6.79971145522 |
| 9 | -0.45231565944 |
| 10 | 0.64836082745 |
Examples
TAN(Number)
- Number is the angle in Radians.
| TAN(Radian) | Value |
| TAN(0) | 0 |
| TAN(1) | 1.55740772465 |
| TAN(90) | -1.99520041221 |
Related Videos
See Also
References