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Prove: (Sec A-Cosec A)(1+tan A+Cot A)=tan ASec A-Cot ACosec A

Prove: (Sec A-Cosec A)(1+tan A+Cot A)=tan ASec A-Cot ACosec A

Grade:10

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
LHS
(1/ cosA  - 1/sinA ) (1 + sinA/cosA + cosA /sinA)
= ((SinA-cosA)/sinA cosA)((sinA cosA + sin²A + cos²A)/sinA cos A)
= (Sin³A - cos³A)/ sinA cosA
= TanA secA - cotA cosecA
 
RHS
 
Hence proved.
 
Regards
Arun(askIITians forum expert)

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