Sunday, October 3, 2010

9-4 Law of Cosines

This week in advanced math we learned that we will not always be able to use SOHCAHTOA. We learned that our final result is Law of Cosines. We do Law of cosines when you do not have a pair in a non-right triangle. We also learned navigation in lesson 9-5 which also ties in with the different Laws. In Navigation it depends what quadrant you land in as to which direction you are pointed. If your in quadrant one then your north east. If your in quadrant two then your north west. If your in quadrant three then your south west. And if your in quadrant four then your in south east. But back to Law of Cosines, here is the formula.

The formula for Law of Cosines is (opp. leg)^2= (adj. leg)^2 + ( adj. leg)^2 -2 (adj. leg) (adj. leg) cos (angle b/w).

Ex. If there is a triangle and the opposite side is 4, the adjacent side is 6 and the angle is 140 degrees.

4^2= 6^2 + 6^2 -2 (6)(6) cos(140)

Then that is how you will set it up.

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