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Law of Sines and Cosines

How to determine which formula to use

The goal of this page is to help students better understand when to use the law of sines and when to use the Law of Cosines .
Picture of Law of Sines and Cosines

Practice Problems

Look at each triangle below and, based on the given information, decide whether you could use the Law of Sines, the Law of Cosines (or neither)
Answer
Law of Sines and Cosines problem
Decide which formula (law of Sines/Cosines) you would use to calculate the value of x below? After you decide that, try to set up the equation(Do not solve--just substitute into the proper formula)
Answer
Decide which formula (law of Sines/Cosines) you would use to calculate the value of x below? After you decide that, try to set up the equation(Do not solve--just substitute into the proper formula)
Answer
Decide which formula (law of Sines/Cosines) you would use to calculate the value of x below? After you decide that, try to set up the equation(Do not solve--just substitute into the proper formula)
Answer