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

1 Answer

6 votes

Answer:

  • x = 6
  • the graph is a vertical line

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.

Find an equation equivalent to r = 6 sec e in rectangular coordinates and describe-example-1
User Cesar Bielich
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