Trigonometry/Geometry

Sum of the interior angles of a polygon

Sum of the exterior angles of a polygon

360^o

Sum of the central angles of a polygon

360^o

number of diagonals of a polygon

Area of a regular polygon

Area of a trapezoid

Area of Kite & Rhombus

Area of a segment (Circle)

Two chords rule

ab = cd

Two secants rule

AC x AB = AE x AD

Secant - Tangent Rule

(AB)² = AD x AC

type of conic section when its eccentricity is 0

CIRCLE

type of conic section when its eccentricity is 1

PARABOLA

type of conic section when its eccentricity is <1

ELLIPSE

type of conic section when its eccentricity is >1

HYPERBOLA

The LR of a parabola is equal to?

4a

the directrix of a parabola is at a distance __ from its vertex

a

this conic section opens:

upward

this conic section opens:

downward

this conic section opens:

to the right

this conic section opens:

to the left

formula for the eccentricity of an ellipse

e = c/a

TRUE OR FALSE: the equation shown is a property of an ellipse

TRUE: where c is the distance from the ellipse’s center to its minor axes

second degree of eccentricity of an ellipse

e’ = c/b

area of an ellipse

perimeter of an ellipse

distance (d) from an ellipse’s center to its directrices

d = a/e

distance from an ellipse’s center to its vertices

a

formula for an ellipse’s LR

formula for a hyperbola’s LR

TRUE OR FALSE: this is a property of hyperbolas

distance (d) from a hyperbola’s center to its directrices

d = a/e

distance formula

slope of a line in terms of x and y

point-slope form

angle between two lines

Distance from a point to a line (Ax + By + C = 0)

distance between parallel lines

general form for trig equations

where A is its amplitude

what is the area of the triangle given

where s is the triangle’s semi-perimeter

what is the area of the triangle given

what two rules are under Napier’s Rule for spherical triangles?

Sin-Ta-Ad and Sin-Co-Op

law of cosines for side a (spherical triangle)

law of cosines for angle A (spherical triangle)

area of spherical triangle

where E is spherical excess (A+B+C-180)

line drawn from one vertex of a triangle to the midpoint of its opposite side

median

formula for the median of a triangle

line drawn from one vertex perpendicular to its opposite side

altitude

formula for altitude of a triangle

surface area of a cylinder

volume of a pyramid

volume of a cone

surface area of a cone

volume of a sphere

surface area of a sphere