crlambert3691 crlambert3691
  • 23-01-2020
  • Mathematics
contestada

What are the cylindrical coordinates of the point whose rectangular coordinates are (x=−3, y=5, z=2)(x=−3, y=5, z=2) ?

Respuesta :

EamonnAdams1992 EamonnAdams1992
  • 24-01-2020

Answer:

(5.83, 2.11, 2)

Step-by-step explanation:

To convert from rectangular coordinates to cylindrical coordinates we use

[tex]x=rcos(u)[/tex]

[tex]y=rsin(u)[/tex]

[tex]r=\sqrt{x^2+y^2}[/tex]

Therefore (-3,5,2):

[tex]r=\sqrt{(-3)^2+5^2}=5.83[/tex]

[tex]cosu=x/r=-3/5.83=-0.51[/tex]

[tex]u=2.11 radians[/tex]

So the coordinates are (5.83, 2.11, 2)

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