black6436 black6436
  • 23-01-2020
  • Mathematics
contestada

Convert the following equation to polar coordinates. y = 6/x The polar from of y = 6/x is

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EamonnAdams1992 EamonnAdams1992
  • 24-01-2020

Answer:

[tex]r=\sqrt{6/sinucosu}[/tex]

Step-by-step explanation:

To convert to polar form:

[tex]x=rcosu[/tex]

[tex]y=rsinu[/tex]

We substitute into our function:

[tex]y=6/x[/tex]

[tex]rsinu=6/rcosu[/tex]

multiply both sides by r:

[tex]r^2sinu=6/cosu[/tex]

solve for r by dividing by sinu:

[tex]r=\sqrt{6/sinucosu}[/tex]

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