prove that (sinA+cosecA) ^2+ (cosA+secA) ^2 ) =7 +tan2A
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Answer:
L.H.S. =(sinA+cosecA)2+(cosA+secA)2
=sin2A+cosec2A+2sinAcosecA+cos2A+sec2A+2cosAsecA
=1+2+2+1+tan2A+1+cot2A
=7+tan2A+cot2A = R.H.S.
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