Question

If sin(A-B)=1/2,tan(A+B)=root3,then prove angleA=45

Answer 1

Answer:

sin(A-B) = 1/2

sin(A-B) = sin30°

      A-B =30°......(1)

and,tan(A+B) =√3

      tan(A+B) =tan60°

            A+B = 60°.....(2)

Adding eqn (1) and (2)

            A+B =60°          

            A-B =30°

          ......................

           2A    =90°

             A     =90°/2

               A   = 45°

  HENCE PROVED

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