(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/cosA
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(tanA - secA) - (sec2A - tan2A)/tanA + 1 - secA
(tanA - secA) (1 - (secA - tanA))/tanA + 1 - secA
(tanA - secA) (1 - secA + tanA)/tanA + 1 - secA
sec A + tan A
1/cosA + sinA/cosA
1 + sinA/cosA
Hence, Proved
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