| Property | Value |
|---|---|
| Hex Value | $1E |
| Categories | |
| Localizations |
|
P►Ry(
Overview
Returns Y, given polar coordinates r and θ or a list of polar coordinates.
Availability: Token available everywhere.
Syntax
P►Ry(r,θ)
Arguments
| Name | Type | Optional |
|---|---|---|
| r | ||
| θ |
Location
2nd, angle, ANGLE, 8:P, Ry(
Description
P►Ry( (polar to rectangular y-coordinate) calculates the y-coordinate of a polar point. Polar coordinates are of the form (r,θ), where θ is the counterclockwise angle made with the positive x-axis, and r is the distance away from the origin (the point (0,0)). The conversion identity y=r*sin(θ) is used to calculate P►Ry(.
The value returned depends on whether the calculator is in radian or degree mode. A full rotation around a circle is 2π radians, which is equal to 360°. The conversion from radians to degrees is angle180/π and from degrees to radians is angleπ/180. The P►Ry( command also accepts a list of points.
P►Ry(5,π/4)
3.535533906
5*sin(π/4)
3.535533906
P►Ry({1,2},{π/4,π/3})
{.7071067812 1.732050808}
Advanced Uses
You can bypass the mode setting by using the ° (degree) and ʳ (radian) symbols. This next command will return the same values no matter if your calculator is in degrees or radians:
P►Ry(1,{π/4^^r,60°})
{.7071067812 .8660254038}
Optimization
In most cases P►Ry(r,θ) can be replaced by r*sin(θ) to save a byte:
:P►Ry(5,π/12)
can be
:5sin(π/12)
Conversely, complicated expressions multiplied by a sine factor can be simplified by using P►Ry(r,θ) instead.
:(A+BX)sin(π/5)
can be
:P►Ry(A+BX,π/5)
Error Conditions
- ERR:DIM MISMATCH is thrown if two list arguments have different dimensions.
- ERR:DATA TYPE is thrown if you input a complex argument.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: DarkerLine, GoVegan, thornahawk.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | Added |
Created: February 23, 2023 23:15:01