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cotA+cosecA -1 1+cos Aसिद्ध करा की, cot A — cosecA + 1 e sinAकि कक |
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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. Like my answer if you find it useful! |
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