Math, asked by Vanquisher, 1 year ago

Prove That----. tanA/(1-cotA) + cotA/(1-tanA) = 1 + secAcosecA
pls solve very urgent

Answers

Answered by KunalTheGreat
1
Heya,
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=(sinA/cosA)/((sinA-cosA)/sinA) + (cosA/sinA)/((cosA-sinA)/cosA) 


=(sinA)^2 / cosA(sinA-cosA)-(cosA)^2/sinA(sinA-cosA) 

=1/(sinA-cosA) * [(sinA)^2/cosA-(cosA)^2/sinA] 

=1/(sinA-cosA) * [((sinA)^3-(cosA)^3)/sinA*cosA] 

=1/(sinA-cosA) * [(sinA-cosA)((sinA)^2+(cosA)^2+sinA*cosA... 

=(1+sinA*cosA)/sinA*cosA 

=1+ cosecA * secA 
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Vanquisher: thanks but can u do me a favour.... pls
KunalTheGreat: wht/
Vanquisher: can u write it somewhere properly take a pic and then send it to me
Vanquisher: i cant uderstand the proof
Vanquisher: what u have written
Vanquisher: pls write on a paper and then take a pic and send to me pls pls pls
KunalTheGreat: now is it clear?
Vanquisher: thanks
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