Answers
L.H.S = 1 + secA ? tanA / 1 + secA + tanA? ? ? ? ? ?,? R.H.S =1 ? sinA / cosA????
= L.H.S(sec2A ? tan2A) + secA ? tanA / 1 + secA + tanA
As we know that [sec2A ? tan2A = 1]
So here L. H. S= (secA ? tanA) (secA + tanA) + (secA ? tanA) / 1 + secA + tanA
We know about this formula [a2+b2=(a+b) (a-b)]
L.H.S = (secA ? tanA) (1+secA + tanA) / 1 + secA + tanA
L.H.S = secA ? tanA
We know about the formula of secA and tanA,[secA = 1 / cosA], [ tanA = sinA / cosA]
?putting the value of secA and tanA
so = 1 / cosA - sinA / cosA
L.H. S= 1 ? sinA / cosA
So here L.H. S is equal to R.H.S