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 Oblique Triangle Trig Formulae

 

 

 

      

 

 

 

 

 

 1.       Given A, B and c, find b, C and c

 

     a sinB                     a sin C

  b= ------ , C=180o-(A+B), c= --------

        A                        sin A

 

 

 2.      Given A, a and b, find B, C and c

 

         b sinA                     a sinC

  sin B= ------ , C=180o-(A+B), c= -------

           a                         sinA

 

 

 3.      Given a, b and c, find A, B and c

 

 

           a sinC                      a sinC

  tan A= ---------- , B=180o-(A+C), c= -------

         b-(a cosC)                     sinA

 

 

 4.      Given a, b and c, find A, B and C

 

         b2+c2-a2          a2+c2-b2

  cos A= -------- , cosB= --------- , C=180o-(A+B)

                              2ac

 

 

 5.      Given a, b, c, A, B and C, find Area

 

 

     a+b+c

  s= ----- , Area=√s(s-a)(s-b)(s-c)

       2

 

         bc sinA          a2 sin B sin C

  Area = ------- , Area = --------------

            2                2 sinA

 

 

 

 

 

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