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  • 22-07-2022
  • Mathematics
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Find a Cartesian equation for the curve.
r = 3 sec(θ)

Identify the curve.
▢ ellipse
▢ line
▢ hyperbola
▢ limaçon
▢ circle

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subtomex0
subtomex0 subtomex0
  • 22-07-2022

[tex]r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )} [/tex]

[tex]x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r} [/tex]

[tex]r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line[/tex]

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