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in which class do you study
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Cos A/(1 + Sin A) + (1+Sin A)/Cos A = 2 Sec A
Taking L.H.S :
=Cos^2A+(1+ Sin A)^2/Cos A(1+Sin A)
=Cos^2 A + Sin^2 A + 2 Sin A +1/Cos A(1+ Sin A)
We know cos^2 theta + sin^2 theta = 1
=2+2 Sin A/Cos A(1+Sin A)
=2(1+Sin A)/ Cos A ( 1+Sin A)
=2/Cos A
=2 sec A
Hope it helps you.
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