Question

(sin0+cosec0)2+(cos0+sec0)2=7+tan20+cot20

Answer 1

$\huge\boxed{Hello \: Mate}$

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Question :- ( sinA + cosecA )² + ( cosA + secA)²
= 7 + tan²A + cot²A

answer :- ( using I'd :- (a+b)² = a²+b²+2ab )

sin²A+ cosec²A +2(sinA)(cosec) + cos²A +sec²A
2(cosA)(secA)

=> 1+1+cot²A +2sinA ×1/sinA+ tan²A+ 2cos²A×1/cosA

=> 1+1+cot²A+ 2+ tan²A+2+1 = 7 tan²A + cot²A

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Note :- [ sinA×1/sinA ( sinA will be cancelled same as cos²A×1/cosA will be cancelled ] .

$\huge\boxed{Hense \: proved}$

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