Find a Cartesian equation for the curve. r = 3 sec(θ) Identify the curve. ▢ ellipse ▢ line ▢ hyperbola ▢ limaçon ▢ circle

asked Aug 22, 2023 139k views

2 votes

Find a Cartesian equation for the curve.

r = 3 sec(θ)

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

3.0k points

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5 votes

$r = 3sec( \alpha ) \\ r = (3)/(cos( \alpha ))$

$x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = (x)/(r)$

$r = (3)/( (x)/(r) ) \\ r = (3r)/(x) \: \: \: \: \: \: x = 3 \\ line$

JosiahDaniels answered Aug 28, 2023

3.1k points

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