cosA/1+sinA+1+sinA/cosA=2secA
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L.H.S = cosA/(1+sinA) +(1+sinA)/cosA
= {cos²A +(1+sinA)²}/cosA.(1+sinA)
= {cos²A+1+sin²A+2sinA}/cosA.(1+sinA)
use sin²∅ +cos²∅ =1
= (1+1+2sinA)/cosA(1+sinA)
= 2(1+sinA)/cosA(1+sinA)
= 2/cosA
2secA = R.H.S
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