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 x & y not both equal to zero.
*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
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*where x is the x-coordinate point & y is the y-coordinate point.  
*'i' is the imaginary unit <math>i=\sqrt{-1}</math>
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*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.
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*Also the angle is with in -pi() <angle>=+pi()
*'COMPLEX' is the function used to convert Real & Imaginary numbers in to a complex number.
 
*<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)'''
 
'''IMCOS(iz)'''

Revision as of 03:15, 6 November 2013

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 x & y not both equal to zero.
  • 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 -pi() <angle>=+pi()

Examples

IMCOS(iz)

  • iz is the complex number.
IMCOS(iz) Value(Radian)
IMCOS("2+3i") -4.189-i9.109
IMCOS("2-3i") 4.189-i9.109
IMCOS("2") 0.4161468

See Also


References



Where xn is the x-coordinate and yn is the y-coordinate of that particular point ATAN2 returns the error value when both xn and yn are 0. 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).