1+sina +cosa/1-sina cosa =seca+tana
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Step-by-step explanation:
(sinA + 1 - cosA) / (cosA - 1 + sinA)
Divide each term by cosA
=(tanA + secA - 1) / (1 - secA + tanA)
=[tanA + secA - ( sec2A−tan2A)] /
( 1 - secA + tanA)
= (tanA+secA)( 1 - secA + tanA )/(1 - secA + tanA)
= tanA + secA
= (sinA / cosA )+ 1 / cosA
= (sinA + 1 )/ cosA
=1/sinA+sinA/cosA
=secA+tanA
Hence Proved
Hope it will help you
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