Trig LT 1

Circle

The set of all points in plane that are equidistant from a given point (the center)

A=B

Conic Sections

The curves that result from the intersection of a plane with a cone. Includes: circles, ellipses, parabolas, and hyperbolas

General form: Ax^2 + By^2 + Cx + Dy + E = 0

Conjugate Axis

For an ellipse or hyperbola, the axis is perpendicular to the major axis

Directrix

For a parabola, the line that is equidistant from the vertex and the focus

Ellipse

The set of all points in a plane such that the sum of the distances (sum of the focal radar) from two fixed points (the foci) is constant

A & B have the same sign but are not equal

Focal Distance

The distance between a focus and the corresponding directrix

Focal Radii

The line segments connecting a focus to a point on an ellipse or hyperbola

Foci

The two fixed points in an ellipse or hyperbola that determine its shape

Hyperbola

The set of all points in a plane such that the difference of the distances from two fixed points (the foci) is constant and equal to the transverse axis

A & B have opposite signs

Latus Rectum

The chord of an ellipse or hyperbola that passes through a focus and is perpendicular to the major axis

Major Axis

The longest diameter of an ellipse or hyperbola

Minor Axis

The shortest diameter of an ellipse or hyperbola

Parabola

The set of all points in a plane that are equidistant from a given point (the focus) and a given line (the directrix)

A or B = 0

Transverse Axis

For an ellipse or hyperbola, the axis that passes through the center and the foci

Vertex

For an ellipse or hyperbola, the point where the major and minor axes intersect