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if sin a+ cosec a=2 then sin^2 a +cosec^ a =

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If sinA+cosecA=2 then find out.the value of sin^2A + cosec^2A

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Given

sinA + cosecA = 2

Squaring on both sides

(sinA + cosecA)² = 2²

sin^2A + cosec^2A + 2 sinA cosecA = 4

sin^2A + cosec^2A = 4 - 2 sinAcosecA

WKT cosec A = 1/sinA

sin^2A + cosec^2A = 4 -2

∴ sin^2A + cosec^2A = 2