Topic Six


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APPLICATIONS OF TRIGONOMETRY

 

Sine Law:

  

Where: the uppercase letters = the angle sizes and the lowercase letters = length of side opposite to corresponding angle. 

 

Area of A Triangle

There are five ways to calculate the area of a triangle

  1. Counting squares: A= (total # of whole squares) + ( total # of partial squares divided by two)
  2. Heron’s Formula  
  3. Cartesian Coordinates:

 

Cosine Law: 

The Ambiguous Case: 

- 2 solutions to a problem, a diagram that can be drawn in 2 different, yet, correct ways.

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