v ताल हिहि BLE s pighbh | Lkl विद bl D Melbhh] BE

1.	v ताल हिहि BLE s pighbh \| Lkl विद bl D Melbhh] BE \| & 18 9x (1B 08 x [tk 00T ikl 1 hilkh % Bl wh ()[—V UIS+ Y S0 " V109 + 1/ 09500 =1+ V WS —yS00‘higlee 28 ()नाक 0Bt [t 5
Answer» LHS = ( cosA-sinA+1)/(cosA+sinA-1) divide numerator and denominator with sinA , we get = ( cotA - 1 + cosecA)/( cotA+1 - cosecA ) = [cotA+cosecA- 1 ]/[ 1 - cosecA + cotA ] =[(cotA+cosecA)-(cosec²A-cot²A)]/(1-cosecA+cotA) =[(cotA+cosecA)-(cosecA+cotA)(cosecA-cotA)]/(1-cosecA+cotA) = [(cosecA+cotA)(1-cosecA+cotA)]/(1-cosecA+cotA) = cosecA + cotA = RHS

v ताल हिहि BLE s pighbh | Lkl विद bl D Melbhh] BE | & 18 9x (1B 08 x [tk 00T ikl 1 hilkh % Bl wh ()[—V UIS+ Y S0 " V109 + 1/ 09500 =1+ V WS —yS00‘higlee 28 ()नाक 0Bt [t 5

Answer»

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

divide numerator and denominator with

sinA , we get

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

= [cotA+cosecA- 1 ]/[ 1 - cosecA + cotA ]

=[(cotA+cosecA)-(cosec²A-cot²A)]/(1-cosecA+cotA)

=[(cotA+cosecA)-(cosecA+cotA)(cosecA-cotA)]/(1-cosecA+cotA)

= [(cosecA+cotA)(1-cosecA+cotA)]/(1-cosecA+cotA)

= cosecA + cotA

= RHS