Difference between revisions of "Manuals/calci/ATAN2"

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<div style="font-size:30px">'''ATAN2'''</div><br/>
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<div style="font-size:30px">'''ATAN2(x,y)'''</div><br/>
* where 'iz' is the complex number
+
* x & y are coordinates
 
==Description==
 
==Description==
 
+
*This function gives the inverse function of Tangent  in trigonometry with two arguments (x,y).
*This function gives the cos value of 'iz'.  
+
*Here the arguments <math>x\neq 0</math> & <math>y\neq 0</math>.
*Where iz is the complex number in the form of <math>x+iy</math>  
+
*Also ATan2(x,y) is the angle between the x-axis and the point given by the co-ordinate (x,y) on it.
*x & y are the real number
+
*Where x is the x-coordinate point & y is the y-coordinate point.  
*'i' is the imaginary unit <math>i=\sqrt{-1}</math>
+
*The angle is positive for counter-clockwise angles (upper half-plane, y > 0), and negative for clockwise angles (lower half-plane, y < 0).
*Also x is  called the real part & y is the imaginary patr of a complex number.
+
*Also the angle is with in <math>-\pi</math> to <math>\pi</math>
*'COMPLEX' is the function used to convert Real & Imaginary numbers in to a complex number.
+
*To find the angle in degrees, multiply the result angle with 180/PI().DEGREES function can also be used.
*<math>cos(x+iy)</math> is defined by <math>cos(x+iy)=cos(x)cosh(y)-isin(x)sinh(y)</math>
 
  
 
== Examples ==
 
== Examples ==
'''IMCOS(iz)'''
+
'''ATAN2(x,y)'''
*'''iz''' is the complex number.
+
*x & y are coordinates
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
|'''IMCOS(iz)'''
+
|'''ATAN2(x,y)'''
 
|'''Value(Radian)'''
 
|'''Value(Radian)'''
  
 
|- class="odd"
 
|- class="odd"
| IMCOS("2+3i")
+
| ATAN2(5,-6)
| -4.189-i9.109
+
| -0.8760580
  
 
|- class="even"
 
|- class="even"
| IMCOS("2-3i")
+
| ATAN2(0,1)
| 4.189-i9.109
+
| 1.5707963
  
 
|- class="odd"
 
|- class="odd"
| IMCOS("2")
+
| ATAN2(1,0)
| 0.4161468
+
| 0
 
|}
 
|}
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|Idxeo49szW0|280|center|Inverse TAN}}
  
 
==See Also==
 
==See Also==
 
 
*[[Manuals/calci/COS| COS]]
 
*[[Manuals/calci/COS| COS]]
 
 
*[[Manuals/calci/COMPLEX| COMPLEX]]
 
*[[Manuals/calci/COMPLEX| COMPLEX]]
 
  
 
==References==
 
==References==
  
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
 
 
 
 
  
Where xn is the x-coordinate and yn is the y-coordinate of that particular point
+
*[http://en.wikipedia.org/wiki/Atan2  ATan2]
ATAN2 returns the error value when both xn and yn are 0. </font></font>
 
If you want to convert the arctangent in degrees, multiply the result by 180/PI.
 
Calci returns the arctangent of the particular x- and y-coordinates. It is the angle from the x-axis to a line with origin (0, 0) and with coordinates (xn, yn).
 

Latest revision as of 14:15, 21 May 2015

ATAN2(x,y)


  • x & y are coordinates

Description

  • This function gives the inverse function of Tangent in trigonometry with two arguments (x,y).
  • Here the arguments & .
  • Also ATan2(x,y) is the angle between the x-axis and the point given by the co-ordinate (x,y) on it.
  • Where x is the x-coordinate point & y is the y-coordinate point.
  • The angle is positive for counter-clockwise angles (upper half-plane, y > 0), and negative for clockwise angles (lower half-plane, y < 0).
  • Also the angle is with in to
  • To find the angle in degrees, multiply the result angle with 180/PI().DEGREES function can also be used.

Examples

ATAN2(x,y)

  • x & y are coordinates
ATAN2(x,y) Value(Radian)
ATAN2(5,-6) -0.8760580
ATAN2(0,1) 1.5707963
ATAN2(1,0) 0

Related Videos

Inverse TAN

See Also

References