(sec A - cosec A)(1+ tan A + cot A) = tan A sec A- cot A cosec A
Navya , 4 Years ago
Grade 10
10 grade maths> (sec A - cosec A)(1+ tan A + cot A) = tan...
4 Answers
Saurabh Koranglekar
Last Activity: 4 Years ago
Dear student
Please ask complete question
Regards
Vikas TU
Last Activity: 4 Years ago
Dear student
1/CosA - 1/SinA (1+sinA/CosA + CosA/SinA)
= (SinA-cosA)/SinAcosA)((SinACosA + Sin^2A + Cos^2A)/(SinACosA)
=(Sin^3A - Cos^3A) /SinA CosA
= TanA SecA - CotACosecA
1/CosA - 1/SinA (1+sinA/CosA + CosA/SinA)
= (SinA-cosA)/SinAcosA)((SinACosA + Sin^2A + Cos^2A)/(SinACosA)
=(Sin^3A - Cos^3A) /SinA CosA
= TanA SecA - CotACosecA
Arun
Last Activity: 4 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.
Yashraj
Last Activity: 4 Years ago
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