• Answer of this question

    prove that, (cosecA-cotA)2=1-cosA/1+cosA
    HS Hafizur Rahman's image
    HS Hafizur Rahman

    (cosecA-cotA)2=1-cosA/1+cosA

     L.H.S.=(cosecA-cotA)2

                =[ 1/sinA-cosA/sinA]2

                ={1-cosA/sinA}2

                =(1-cosA)2/sin2A

                =(1-cosA)(1-sinA)/1-cos2A

                =(1-cosA)(1-cosA)/(1-cosA)(1+cosA)

                =1-cosA/1+cosA

                =R.H.S.


    Written on Jan. 27, 2019, 4:08 p.m.