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Step-by-step explanation:
(sinA+cosecA)²+(cosA+secA)²
=sin²A+2sinAcosecA+cosec²A+cos²A +2cosAsecA+sec²A
=(sin²A+cos²A)+2+2+cosec²A+sec²A
=5+(1+cot²A)+(1+tan²A)
=7+tan²A+cot²A
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