If sinA+cosecA=2 then find sin²A+cosec²A
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Answer:
sin A + cosec A =2
or,sinA +1/sinA=2
or,sin^2A+1=2sinA
or,sin^2A-2sinA+1=0
or,( sin^2A-1)^2=0
or, sin^2A-1=0
or,sinA=1
or,cosecA=1
or,
sin^2A+cosec^2A=1+1=2..........
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