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Rectangular to Polar Conversion

The rectangular to polar conversion keys convert an x and y rectangular value to the radius (r) and angle (Θ).

to polar key

Calculates the (r, Θ) given the (x, y) values in the x and y register. The value of Θ will depend on the degree / radian mode.

to rectangular key

Calculates the (x, y) values given the (r, Θ) values in the x = r and y = Θ register. The value of Θ will depend on the degree / radian mode.

 

diagram of rectangulat and polar values

Example Rectangular to Polar Example:

Value Keystrokes Display Description
3 =/ENTER 3.00 Enters the Y value
4 →P 5.00 Displays the polar r value
  SWAP 36.9 Displays the polar Θ value

Polar to Rectangular Example:

Value Keystrokes Display Description
42 =/ENTER 42.0 Enters the polar Θ value.
1 SHIFT, →R 0.743 Displays the x value.
  SWAP 0.669 Displays the y value.

 

Rectangular to Polar conversion is a good example of the advantages of using a stack. The values from both the x and y register are used to produce two different results with a single key. To do these conversion without a stack would require evaluating two expressions.