The P►Ry( Command

Command Summary

P►Ry( calculates the y-value (in Cartesian coordinates) given Polar coordinates.

Command Syntax


Menu Location


  1. 2nd ANGLE to access the angle menu.
  2. 8 to select P►Ry(, or use arrows and ENTER.

Calculator Compatibility


Token Size

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.

    {.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:

    {.7071067812 .8660254038}


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

can be

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

can be

Error Conditions

Related Commands


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