Law of CosinesThe law of cosines for calculating one side of a triangle when the angle opposite and the other two sides are known. Can be used in conjunction with the law of sines to find all sides and angles.
Applications 
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Applications, Law of CosinesThe law of cosines has application to vector quantities:
It has application along with the law of sines to the problem of the heading angle for an aircraft in the wind. Other applications:

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Aircraft Heading to Counter WindCalculating the necessary aircraft heading to counter a wind velocity and proceed along a desired bearing to a destination is a classic problem in aircraft navigation. It makes good use of the law of sines and the law of cosines.
Then the law of cosines is applied to get the resultant ground speed: 
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