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Let theta =A.
(sinA-cosA+1)/(sinA+cosA-1)=1/(secA-tanA).
Take L.H.S.
=(sinA-cosA+1)/(sinA+cosA-1).
Dividing in Nr and Dr by cosA.
=(tanA-1+secA)/(tanA+1-secA).
=(tanA+secA-1)/(tanA-secA+1).
putting 1= sec^2A-tan^2A=(secA-tanA).
(secA+tanA). in Dr.
=(tanA+secA-1)/{-(secA-tanA)+(secA-tanA).(secA+tanA)}.
=(tanA+secA-1)/(secA-tanA).(-1+secA+tanA).
= 1/(secA-tanA).
Hence Proved.
(Note:- Nr and Dr is Numerator and Denominator).
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