176,878 views
28 votes
28 votes
Find a Cartesian equation for the curve.

r = 3 sec(θ)

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

User Peuge
by
3.2k points

1 Answer

16 votes
16 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

User Tombruijn
by
2.8k points
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