Question

cosA/1+sinA + tanA = secA​

Answer 1

Hello!

Question:-

prove :-

$\dfrac{CosA}{1+SinA}$+TanA = Sec A

Proof :-

L.H.S =

$\implies$ $\dfrac{CosA}{1+SinA}$+TanA

$\implies$ $\dfrac{CosA}{1+SinA}$+$\dfrac{sinA}{CosA}$

$\implies$ $\dfrac{Cos²A+SinA(1+SinA)}{(1+SinA)CosA}$

$\implies$ $\dfrac{Cos²A+SinA+Sin²A}{(1+SinA)CosA}$

$\implies$ $\cancel\dfrac{1+SinA}{(1+SinA)CosA}$

$\implies$ $\dfrac{1}{CosA}$ = SecA = R.H.S

since, L.H.S = R.H.S

hence verified

Answer 2

above one is correct solution