Friday, April 29, 2011

Law of Sines

Trigonometry is about triangles
Triangels can be devided into two types
  • Right -have a right angle (we like these)
  • Oblique -do not have a right angle (Right triangles in training)

Unfortunalty, some important theorems only work with right triangles, these theorms include:

*Pathagorean theorm (insert formula picture)


*Sin, Cos, and Tan


    Luckily, every Oblique triangle can be made into two right triangles!

  • THE LAW OF SINES

    (a triangle with labed sides a, b, c and opposing angles, A, B, C)



    the LAW!


    The law of sines states that in every triangle, ratio of the sine of an angle over its opposite side is equal to every other sine of an angle over its opposite side in that triangle.

    While all of this is fine and dandy, it at first does not appear useful . . .

    But wait!

    this theorem allows one to find other angles or sides in Oblique triangles with only the information of:

  • Two angles and a side
  • Two sides and an angle
  • isn't that exciting?


    (did I miss anything?)

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