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  • 28-04-2020
  • Mathematics
contestada

Convert the rectangular coordinates to polar coordinates with

r > 0 and 0 ≤ θ < 2π.

(8, 6)

(r, θ) =




Respuesta :

xero099
xero099 xero099
  • 29-04-2020

Answer:

(10, 0.205π)

Step-by-step explanation:

The magnitude of the coordinates is:

[tex]\|\vec r \| = \sqrt{8^{2}+6^{2}}[/tex]

[tex]\|\vec r \| = 10[/tex]

Besides, the angle associated with the coordinates is:

[tex]\theta = \tan^{-1}\left(\frac{6}{8} \right)[/tex]

[tex]\theta = 0.205\pi[/tex]

The polar coordinates are (10, 0.205π)

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