TI-BASIC:Angle - Revision history

Battlesquid at 02:33, 27 November 2017

2017-11-27T02:33:45Z

← Older revision		Revision as of 02:33, 27 November 2017
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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.
			<div style="background: #FFF; border: 1px dashed #DDD; padding-left:1em; margin: 1em 0 1em 0; font-family:Arial Unicode MS; color: #000; letter-spacing:1.2pt;">
	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>.

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2016-02-24T18:40:30Z

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{{Template:TI-BASIC:Command
|picture=ANGLE.GIF
|summary=Returns the complex argument of a complex number.
|syntax=angle(''z'')
|location=Press:
# MATH to access the [[TI-BASIC:Math|Math]] menu.
# RIGHT, RIGHT to access the CPX (complex) submenu
# 4 to select angle(, or use arrows.
|compatibility=TI-83/84/+/SE
|size=2 bytes
}}

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(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 [[TI-BASIC:Matrices|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 =

* [[TI-BASIC:Abs|Abs(]]
* [[TI-BASIC:Conj|Conj(]]
* [[TI-BASIC:Real_Func|real(]]
* [[TI-BASIC:Imag|Imag(]]
* [[TI-BASIC:R_Ptheta|R►Pθ(]][[Category:TI-BASIC]]
[[Category:TIBD]]