| Command Summary | Command Syntax | Calculator Compatibility | Token Size |
|---|---|---|---|
| Used in entering a vector in polar, cylindrical, or spherical format, or a complex number in polar form. | [r,∠θ] [r,∠θ,z] [r,∠θ,∠φ] (r∠θ) |
This command works on all calculators. | 1 byte |
Menu Location
- Press 2nd MATH to enter the MATH menu.
- Press 2 to enter the Angle submenu.
- Press 7 to select ∠.
The ∠ Command
The ∠ operator is used for alternate forms of entering vectors or complex numbers. It will be used for output depending on the Complex Format and Vector Format 68k:mode settings, but you can always use it in an expression.
For vectors (which are just 1x2 or 1x3 matrices, as far as ∠ is concerned):
- [r,∠θ] is equivalent to [rcos(θ),rsin(θ)]
- [r,∠θ,z] is equivalent to [rcos(θ),rsin(θ),z]
- [r,∠θ,∠φ] is equivalent to [rcos(θ)sin(φ),rsin(θ)sin(φ),r*cos(φ)]
These have to be row vectors — you can't use column vectors with ∠.
For complex numbers, (r∠θ) is equivalent to r(cos(θ)+i**sin(θ)). You have to have the parentheses there, and both r and θ must be real numbers or expressions.
Error Conditions
260 - Domain error happens when complex numbers are used in the vector notation.
580 - Invalid polar complex happens when the values of r and θ in the complex number notation are invalid.
640 - Invalid vector syntax happens when the ∠ mark is misplaced in the vector notation.