cosA/1+sinA + sinA/1+cosA = 2secA
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lhs
cosa/1+sina +1+sina/cosa
= cos^2a + (1+sina)^2/1+sina (cosa)
= cos^2a + 1+sin^2a +2sina/1+sina(cosa)
=cos^2a +1 +sin^2a+2sina/1+sina(cosa)
=1+1+2sina/1+sina(cosa)
=2+2sina/1+sina(cosa)
= 2( 1+sina)/ 1+sina (cosa)
= 2/ cosa
= 2seca =rhs
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