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Given sinA - 1 = 1 - cosecA
=> sin A + Cosec A = 1 + 1
=> sin A + Cosec A = 2
/* On squaring both sides of the equation, we get*/
=> (SinA + cosecA )²= 2²
=> Sin²A + Cosec² A + 2sinAcosecA = 4
=> Sin²A + Cosec² A + 2= 4
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Since , SinA cosecA = 1
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=> Sin²A + Cosec² A = 4 - 2
=> Sin²A + Cosec² A = 2
Therefore,.
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