Question

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Answer 1

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.

Mark it as brainliest please.