Regular Polygons

A regular polygon is when all the side lengths and angles are the same and don't intersect each other.

Equilateral Triangle

Number of sides = 3:
Number of vertices = 3:
Interior angle = 60°:
Exterior angle = 120°:
Exterior angle multiplied by the number of sides = 360°:
Number of sides = number of vertices:

Cube

Number of sides = 4:
Number of vertices = 4:
Interior angle = 90°:
Exterior angle = 90°:
Exterior angle multiplied by the number of sides = 360°. (90°X4=360°):
Number of sides = number of vertices:

Pentagon

Number of sides = 5:
Number of vertices = 5:
Interior angle = 108°:
Exterior angle = 72°:
Exterior angle multiplied by the number of sides = 360°. (72° X 5 = 360°):
Number of sides = number of vertices:

Hexagon

Number of sides = 6:
Number of vertices = 6:
Interior angle = 120°:
Exterior angle = 60°:
Exterior angle multiplied by the number of sides = 360°. (60° X 6 = 360°):
Number of sides = number of vertices:

Heptagon

Number of sides/verticies = 7

Interior angle = 128.57

Exterior angle = 51.53

Octagon

Number of sides/verticies = 8
Interior angle = 135

Exterior angle = 45

Nonagon

Number of sides/verticies = 9
Interior angle = 140

Exterior angle = 40

Decagon

Number of sides/verticies = 10

Interior angle = 144
Exterior angle = 36

3D Shapes/Prisms

Cube/Rectangular prismSphereRectangular Pyramid Triangular Pyramid
Cylinder
Cone

Octahedron (8 faces, 6 vertices, 12 edges)Dodecahedron (12 faces, 20 vertices, 30 edges)

Icosahedron (20 faces, 12 vertices, 30 edges)

Torus

2D Shapes

Triangle, Rectangle, Square, Cirlce,

Parallelogram

Trapezoid

Rhombus
Ellipse
Kite

Sector

Internet Radio

Hey, since Pandora's not streaming in Canada anymore I've found some other sites for free radio.

www.accuradio.com is awesome (I love da jazz).
www.allworship.com works with windows media player and is all christian.

www.live-radio.com and www.live265.com (you'll need a username and password for this one) both didn't work for me in the school but... there still there.

Cosine Law

In any triangle the sim of two sides squared less twice those two side lengths multiplyed by the cosine of the included angle yields the included side squared.

a^2=b^2+c^2-2bc(cosA)
b^2=a^2+c^2-2ac(cosB)
c^2=a^2+b^2-2ab(cosC)
You would use these three to solve for a line segment and these other three would be used for finding an angle.
cosA=a^2-b^2-c^2/-2bc
cosB=a^2-b^2-c^2/-2ac
cosC=a^2-b^2-c^2/-2ab

Sine Law/Law of Sines

In any triangle, if you compare the sine ratio of any angle to its corresponding side, the value is unique to that triangle, and can be used to find either the sine ratio of other angles or the corresponding other sides.

* You need to know at least a pair of corresponding angles/or sides and one other angle/side to make the law of sines visible.

ex) Angle A is 39 degrees, Angle C is 67 degrees and side a is 6.53. Solve the triangle.

sinA/a=sinR/r
sin39/6.532 = sin67/c
6.532(sin67)=sin39(c)
6.013/sin39=sin39(c)/sin39
9.554=c

Note: in the third step I cross multiplied.

Primary Trigonometry Functions

Sine (sin)
Cosine (cos) and
Tangent (tan)

The first thing that come to mind when I hear these is: equation. I like to define these as equations or formulas for solving specific angles or line segments in a right angled triangle. You can remember these things by remembering soh-cah-toa (so - ka - toe - ah, you'll find out what I means as I go through them).

Sine
The abbreviation for sine is sin (not sin like in you did something bad but, sin like a stop sign, you still pronounce it like sine). The equation/formula for this is sin('theta')=opposite/adjacent (don't worry I'll have examples). You can remember sine my remembering the soh in sho-cah-toa, meaning s=o/h so sine equals opposite divided by hypotenuse.

Cosine

The abbreviation for cosine is cos. The equation/formula for this is

cos('theta)=adjacent/hypotenuse. You can remember cos by remembering the cos in soh-cah-toa, meaning c=a/h so cos equals adjacent diveded by hypotenuse.

Tangent

The abbreviation for tangent is tan. The equation/formula for this is

tan('theta')=opposite/adjacent. You can remember tan by remembering the toa in soh-cah-toa, meaning t=o/a so tan equals opposite divided by adjacent.

ex) say we have a (right angled) triangle with the opposite as 3 and theta as 48degrees. Solve for adjacent.

tan'theta'=o/a

tan48=3/a

tan48(a)=3

tan48(a)/tan48=3/tan48

a=2.7012...