SulamitaI698394 SulamitaI698394
  • 25-10-2022
  • Mathematics
contestada

how do I convert the rectangular equation: x=15 to a polar equation that expresses r in terms on theta?I got r=15 sectheta but wanted to double check

Respuesta :

BrenhamJ131725 BrenhamJ131725
  • 25-10-2022

In polar coordinates, the x variable is given as

[tex]x=r\cos \theta[/tex]

So, we have the equation

[tex]r\cos \theta=15[/tex]

By dividing both sides by cosine of thetat, we get

[tex]r=\frac{15}{\cos \theta}[/tex]

since

[tex]\sec \theta=\frac{1}{\cos \theta}[/tex]

The above result is equivalent to:

[tex]r=15\sec \theta[/tex]

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