Difference between revisions of "TI-BASIC:Angle"

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angle(''z'') returns the [http://mathworld.wolfram.com/ComplexArgument.html complex argument] (also known as the polar angle) of the complex number ''z''. If ''z'' is represented as ''x''+i''y'' where ''x'' and ''y'' are both real, angle(''z'') returns R►Pθ(''x'',''y'') (which is equivalent to tanֿ¹(''y''/''x'') if x is nonzero). Also works on a list of complex numbers.
 
angle(''z'') returns the [http://mathworld.wolfram.com/ComplexArgument.html complex argument] (also known as the polar angle) of the complex number ''z''. If ''z'' is represented as ''x''+i''y'' where ''x'' and ''y'' are both real, angle(''z'') returns R►Pθ(''x'',''y'') (which is equivalent to tanֿ¹(''y''/''x'') if x is nonzero). Also works on a list of complex numbers.
 
+
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  angle(3+4i)
 
  angle(3+4i)
 
       .927295218
 
       .927295218
 
  R►Pθ(3,4)
 
  R►Pθ(3,4)
 
       .927295218
 
       .927295218
 
+
</div>
 
When writing a complex number ''z'' in the form <math>re^{i\theta}</math> (or, equivalently, <math>r(\cos\theta+i\sin\theta)</math>), then <math>\theta</math> is equal to the value of angle(''z''), suitably reduced so that the result returned is in the interval <math>-\pi<\theta\leq\pi</math>.
 
When writing a complex number ''z'' in the form <math>re^{i\theta}</math> (or, equivalently, <math>r(\cos\theta+i\sin\theta)</math>), then <math>\theta</math> is equal to the value of angle(''z''), suitably reduced so that the result returned is in the interval <math>-\pi<\theta\leq\pi</math>.
  

Latest revision as of 22:33, 26 November 2017

ANGLE.GIF

Command Summary

Returns the complex argument of a complex number.

Command Syntax

angle(z)

Menu Location

Press:

  1. MATH to access the Math menu.
  2. RIGHT, RIGHT to access the CPX (complex) submenu
  3. 4 to select angle(, or use arrows.

Calculator Compatibility

TI-83/84/+/SE

Token Size

2 bytes

angle(z) returns the complex argument (also known as the polar angle) of the complex number z. If z is represented as x+iy where x and y are both real, angle(z) returns R►Pθ(x,y) (which is equivalent to tanֿ¹(y/x) if x is nonzero). Also works on a list of complex numbers.

angle(3+4i)
     .927295218
R►Pθ(3,4)
     .927295218

When writing a complex number z in the form <math>re^{i\theta}</math> (or, equivalently, <math>r(\cos\theta+i\sin\theta)</math>), then <math>\theta</math> is equal to the value of angle(z), suitably reduced so that the result returned is in the interval <math>-\pi<\theta\leq\pi</math>.

The angle( command also works on Matrices, though not in any useful way: angle([A] will return a matrix of the same size as [A], but with all elements 0. If you plan to use this, don't: 0[A] does the same thing, but is smaller and not as questionable (because this behavior is clearly unintentional on TI's part, and may be changed in an OS update).

Related Commands