kaydrejones12 kaydrejones12
  • 28-04-2020
  • Mathematics
contestada

Find an equation equivalent to r = 6 sec e in rectangular coordinates and describe the graph of the equation.

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sqdancefan
sqdancefan sqdancefan
  • 28-04-2020

Answer:

  • x = 6
  • the graph is a vertical line

Step-by-step explanation:

The usual relation between polar and rectangular coordinates is ...

   x = rcos(θ)

Using the relationship between cosine and secant, we can rewrite this as ...

  r = x/cos(θ) = x·sec(θ)

Matching this with your given equation, ...

  r = 6·sec(θ)

we see that ...

  x = 6

This is the equation of a vertical line.

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