if sec theta+tan theta=m find sin theta
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Solution :- Let , ∅ = @
Sec @ + tan @ = p
We know ,
Sec ²@ - tan ²@ = 1
Hence ,
Sec @ - tan @ = 1/p
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Now , take both equations :-
2 sec @ = p + 1/p = ( p²+1 ) / p
:- Sec @ = ( p²+1 ) / 2p
:- cos @ = 2p / ( 1+p² )
Ans :- sin @ = ( 1-p² / 1+p² )
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