Answer to Question #151565 in Trigonometry for Cavajos Montenegro

Question #151565
In solving triangles, when do you use Law of Sines? How about the Law of Cosines? Give at least 2 examples for each.
1
Expert's answer
2020-12-20T17:59:27-0500

Use the Law of Sines if:

  • You know two sides and an angle that is not the angle between the sides.
  • You know two angles and one side.

Use the Law of Cosines if:

  • You know three sides.
  • You know two sides and an angle between them.


Examples:

Solving with the Law of Sines:

1)



  • Triangle solved!

2)


  • Triangle solved!


Solving with the Law of Cosines:

1)


  • Triangle solved!

2)

  • Triangle solved!

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