You can put this solution on YOUR website! prove this
cosa /(1+sina) = seca (1- sina)
start with right side:
sec(1-sin)=(1/cos)(1-sin)
=((1-sin)/cos)*((1+sin)/(1+sin))
=(1-sin^2)/(cos(1+sin))
=cos^2/cos(1+sin)
=cos/(1+sin)
verified: right side=left side