Question: If sin A+cosec A=2.find the value of sin^2A+cosec^2.? 

Answer: (sin A + cosec A)^2 = 4\nsin^2 A + 2sinAcosecA + cosec^2 A = 4\n\ncosec A = 1/sinA\nwhich means that sinAcosecA = 1\nand 2sinAcosecA = 2\n\ntherefore sin^2 A + 2 + cosec^2 A = 4\nsin^2 A + cosec^2 A = 4-2 = 2\n\n(im guessing that the "cosec^2" in your qn is supposed to be "cosec^2 A).
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