Sunday, October 23, 2011

9-3 Law of Sines

This week I am going to teach you all how to use the Law of Sines. You can only use this on non-right triangles. You try to use the Law of Sines before you try to use the Law of Cosines. If you know an angle and an opposite leg, then you can use the Law of Sines.
When you take the inverse for one of these problems, you always will get two answers.
• After you plug the problem into your calculator and get the first angle, you multiply the angle by -1 and add 180 to get the second angle.
The formula for Law of Sines is: sin A/a=sin B/b=sin C/c
To solve, you have to cross multiply and divide.
Example: Solve triangle ABC if, BC 4, A=45 degrees, B=60 degrees, C=75 degrees
• First you have to draw the triangle.
• Next you have to set up an equation to solve for the first side:
sin 45 degrees/14=sin 75 degrees/c
• When you cross multiply and divide, it gives you: c=19.124
• Then you set up the next equation:
sin 45 degrees/14=sin 60 degrees/b
• That gives you b=17.146

-Braxton-

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