1. Give the rectangular coordinates for the polar coordinates (-4, 30°).

2. Give the rectangular coordinates for the polar cordinates (3, 5π/3)

Respuesta :

Answer:

  1. (-3.464, -2)
  2. (1.5, -2.598)

Step-by-step explanation:

You want the rectangular coordinates for the polar coordinates (-4, 30°) and (3, 5π/3).

Rectangular coordinates

The rectangular coordinates for (r; θ) are ...

  (r·cos(θ), r·sin(θ))

1. (-4, 30°)

Setting the calculator to degrees mode, we have ...

  (-4·cos(30°), -4·sin(30°)) ≈ (-3.464, -2)

2. (3, 5π/3)

Setting the calculator to radians mode, we have ...

  (3·cos(5π/3), 3·sin(5π/3)) ≈ (1.5, -2.598)

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