| Property | Value |
|---|---|
| Hex Value | $1C |
| Categories | |
| Localizations |
|
R►Pθ(
Overview
Returns θ, given rectangular coordinates x and y or a list of rectangular coordinates.
Availability: Token available everywhere.
Syntax
R►Pθ(x,y)
Arguments
| Name | Type | Optional |
|---|---|---|
| θ | ||
| x | ||
| y |
Location
2nd, angle, ANGLE
Description
R►Pθ( (Rectangular to polar θ) takes the (x,y) (Cartesian) coordinate, and returns the angle that the ray from (0,0) to (x,y) makes with the positive x-axis. This is the θ-coordinate of the same point in (r,θ) (polar) mode. The identity used for this conversion is tan(θ)=y__/x, with the correct inverse being chosen depending on the quadrant that the point is in. The range of the angle returned is -π<θ≤π. R►Pθ( can also be used on lists.
R►Pθ( is equivalent to the atan2() instruction seen in C/++ and FORTRAN.
R►Pθ(3,4)
.927295218
tanֿ¹(4/3)
.927295218
R►Pθ(0,{1,-1})
{1.570796327, -1.57096327}
R►Pθ( is affected by Degree and Radian mode in its output, which is an angle measured in degrees or radians respectively.
Advanced Uses
If you want the result to always be a radian angle, regardless of mode settings, you can divide the result by 1ʳ:
R►Pθ(x,y)/1^^r
If you want the result to always be a degree angle, regardless of mode settings, you can divide the result by 1°:
R►Pθ(x,y)/1°
Error Conditions
- ERR:DATA TYPE is thrown if you input a complex argument.
- ERR:DIM MISMATCH is thrown if two list arguments have different dimensions.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, thornahawk.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | Added |
Created: February 23, 2023 23:15:01