Zacbot12 Zacbot12
  • 28-04-2021
  • Mathematics
contestada

Point B has rectangular coordinates (-5, 12)
Write the coordinates (r, e) for point B. (O in degrees)

Respuesta :

facundo3141592
facundo3141592 facundo3141592
  • 07-05-2021

Answer:

(13, -67.4°)

Step-by-step explanation:

In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:

r = √(x^2 + y^2)

θ = Atg(y/x)

Then if we have the point with coordinates (-5, 12)

The polar coordinates will be:

r = √((-5)^2 + 12^2) = 13

θ = Atg(12/-5) = -67.4°

Then the polar coordinates are:

(13, -67.4°)

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