prove that :- (Sin A + cosec A)²+ ( cosA + secA)² = 7+ tan²A +cot²A.
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Step-by-step explanation:
=(sinA+cosecA)²+(cosA+secA)²
=sin²A+cosec²A+2sinAcosecA+cos²A+sec²A+2cosAsecA
=sin²A+cos²A+cosec²A+sec²A+2sinA×1/sinA+2cosA×1/cosA
=1+cosec²A+sec²A+2+2
=5+(1+cot²A)+(1+tan²A)
=7+tan²A+cot²A
LHS = RHS
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