Mark Wickens

REC

Purpose

Converts polar coordinates (𝑥,𝑦) to polar coordinates (𝑟,𝜃).

Format

REC         ( distance 𝑟    , angle 𝜃 )
              └────┬───┘     └───┬──┘ 
         Numeric expression  Numeric expression

Example

REC(10,15)

Parameters

• distance 𝑟: 0 ≦ r < 10¹⁰⁰
• angle 𝜃:
  • DEG: -1440º < 𝜃 < 1440º
  • RAD: -8π < 𝜃 < 8π
  • GRA: -1600 (grads) < 𝜃 < 1600 (grads)

Explanation

1. Converts polar coordinates (𝑟,𝜃) to rectangular coordinates (𝑥,𝑦). The following relational expressions are used at this time:

   𝑥 = 𝑟 cos 𝜃, 𝑦 = 𝑟 sin 𝜃

2. The value of 𝑥 is automatically assigned to variable X, while 𝑦 is automatically assigned to variable Y.

Sample Program

10  A=2 : B=30
20  Z=REC(A,B)
30  PRINT X; Y

Converts polar coordinates (2,30) to rectangular coordinates.