Question

Find a Cartesian equation for the curve.

r = 3 sec(θ)

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

Answer 1

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

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

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