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Property Value
Hex Value $BB28
Categories
Localizations
  • FR: argument(

angle(

Overview

Returns the polar angle of a complex number or list of complex numbers.

Availability: Token available everywhere.

Syntax

angle(value)

Arguments

NameTypeOptional
valuecomplex|complex[]

Location

math, CMPLX, 4:angle(


Description

angle(z) returns the 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 \(re^{i\theta}\) (or, equivalently, \(r(\cos\theta+i\sin\theta)\)), then \(\theta\) is equal to the value of angle(z), suitably reduced so that the result returned is in the interval \(-\pi<\theta\leq\pi\).

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).


Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, kg583, Myles_Zadok, thornahawk, Trenly.

History

Calculator OS Version Description
TI-83 0.01013 Added
Authors: Adrien Bertrand