|
We're glad you came by, but you might find what you're looking for elsewhere. TI-Basic Developer is not the site it once was. While its information on commands and other calculator features remains almost second-to-none, its forum, archives, and even hosting service, Wikidot, have been decaying for years. The calculator community would love to see what you're working on, or help you in your next coding adventure, but TI-Basic Developer is no longer the place to do it. Instead, you should head over to Cemetech (primarily American) or TI-Planet (primarily international). Both are active, well-established forums with their own archives, chatrooms, reference material, and abundant coding tools and resources. We'll see you there, we hope. |
P►Ry( calculates the y-value (in Cartesian coordinates) given Polar coordinates.
P►Ry(r,θ)
Press:
- 2nd ANGLE to access the angle menu.
- 8 to select P►Ry(, or use arrows and ENTER.
TI-83/84/+/SE
1 byte
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 angle*180/π and from degrees to radians is angle*π/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
.