sec A +tanA = CosA/1-sin A
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secA + tanA = 1/cosA + sinA/osA
= (1+sinA)/cosA
= {(1+sinA)/cosA}{(1-sinA)/(1-sinA)}
= {(1+sinA)(1-sinA)/cosA*(1-sinA)}
= {(1-sin^2A)/cosA(1-sinA)}
={cos^2A/(cosA(1-sinA))
=cosA/(1-sinA)
The trigonometric fomulas have been used.
Rationalisation has also been used
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