TI-BASIC:P Rx

Command Summary

P►Rx( calculates the x-value (in Cartesian coordinates) given Polar coordinates.

Command Syntax

P►Rx(r,θ)

Menu Location

Press:

1. 2nd ANGLE to access the angle menu.
2. 7 to select P►Rx(, or use arrows and ENTER.

Calculator Compatibility

TI-83/84/+/SE

Token Size

1 byte

P►Rx( (polar►rectangular x-coordinate) calculates the x-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 x=r*cos(θ) is used to calculate P►Rx(.

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►Rx( command also accepts a list of points.

P►Rx(5,π/4)
	3.535533906
5*cos(π/4)
	3.535533906
P►Rx({1,2},{π/4,π/3})
	{.7071067812 1}

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►Rx(1,{π/4^^r,60°})
	{.7071067812 .5}

Optimization

In most cases P►Rx(r,θ) can be replaced by r*cos(θ) to save a byte:

:P►Rx(5,π/12)
can be
:5cos(π/12)

Conversely, complicated expressions multiplied by a cosine factor can be simplified by using P►Rx(r,θ) instead.

:(A+BX)cos(π/5)
can be
:P►Rx(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

• P►Ry(
• R►Pr(
• R►Pθ(
• Cos(