(1+sec a+tan a)/(1+sec a-tan a)=sec a+tan a prove it plz help me friends plzzzzzzzz
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Classic question
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Here is the solution
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Step-by-step explanation:-
So for this question we have to put 1 = sec^2 -tan^2 (1)
From 1 we put value of 1
(sec^2a-tan^2a+seca+tana)/1+seca-tana= R.H.S
[(seca-tana)(seca+tana)+seca+tana]/1+seca-tana
- By using identity (a+b)*(a-b) gives a^2 - b^2
now seca+tana can be taken common so,
(seca+tana)[seca-tana+1]/(1+seca-tana)=RHS
(seca-tana+1) gets cancelled
so seca+tana=seca+tana
LHS=RHS Hence proved
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