| Command Summary | Command Syntax | Calculator Compatibility | Token Size |
|---|---|---|---|
| Returns the complex argument of a complex number. | angle(z) | TI-83/84/+/SE/CSE/CE | 2 bytes |
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.
The angle( Command
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 \(re^{i\theta}\) (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).