1.

cotA+cosecA -1 1+cos Aसिद्ध करा की, cot A — cosecA + 1 e sinAकि कक

Answer»

We know that:-

1=cosec^2A-cot^2A

1 =(cosecA+cotA) (cosecA-cotA)……….(1)

Now L.H.S.

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

On putting the value of 1 from eq.(1) in the Nr.

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

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

=cosecA+ cotA

= 1/sinA + cosA/sinA

= (1+cosA)/sinA , Proved.

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