( sin A + cos A + 1 ) ( sin A -1 + cos A ) sec A cosec A = 2
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Step-by-step explanation:
={(sin A + cos A) +1} {(sin A + cos A) -1}sec A. cosec A
={(sin A + cos A)^2 -1^2}sec A. Cosec A
=(sin ^2 A + cos ^2 A + 2 sinA cosA -1) sec A.Cosec A
=(1-1 +2sinAcosA) secA.cosecA
=(2sinAcosA)/cosA.CosecA
2= RHS
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