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 Right Angle Trig Formulae

 

 

 

      

 

 

 

 

        A, B, C = Angles        a, b, c = Distances

 

           a              b              a

  sin A = ---  , cos A = ---  , tan A = ---

           c              c              b

 

  Area = (ab)/2

 

 

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

 

          a                           b2

  tan A= --- = cotB, c=√a2+b2 = a√1+ ---

          b                           a2

 

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

 

          a                                a2

  sin A= --- = cosB, b=√(c+a)(c-a) = c√1- ---

          c                                c2

 

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

 

                           a

  B = 90o-A, b=a cotA, c= ---

                          sinA

 

 

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

 

                         b

  B=90o-A, a=b tanA, c= ---

                        cosA

 

 

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

 

 

  B=90o-A, a=c sinA, b=c cosA

 

 

 

 

 

 

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