prove the (sinA+cosA)^ +(cosA+secA)^=7+tan^a
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L.H.S. =(sinA+cosecA)²
+(cosA+secA)²
=sin² A+cosec² A+2sinAcosecA+cos² A+sec²A+2cosAsecA
=1+2+2+1+tan²A+1+cot²A
=7+tan² A+cot²A = R.H.S.
Hence Proved
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