Saturday, October 2, 2010

Chapter 9-4 Laws of Cosine

This week in Advance Math, the class learned the Laws of Sine and Cosine. I find the Law of Cosine to be much simpler and easier to comprehend because the majority of your work is done via calculator. The formulas are somewhat difficult and easy to confuse for one another. One method you can use is SOHCAHTOA(exclusive to right triangles). Law of cosine cannot be used for right triangles. it is only to be used on no right triangles without pairs.

The formula for law of cosine is (opp.leg)^2=(adj.leg)^2 + (adj.leg^2) - 2(adj. leg) (adj.leg) cos.

Ex:1 Two sides of the triangle have lengths of 12 cm and 6 cm and the angle between them measures to be 150 degrees. Find the 3rd side. Once you draw the triangle, plug in the numbers.

x^2=12^2 + 6^2- 2(6)(12)cos150.

step1: eliminate the squared x by taking the square root which leaves you with x.
step:2 plug into calculator

Answer(x):36

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