Prove that
Taking LHS
Dividing by cosθ in numerator and denominator
Using and
Putting 1 = sec2θ - tan2θ in numerator
Using a2 - b2 = (a + b)(a - b)
= tan θ + sec θ
Now, taking RHS
Multiplying and dividing by secθ + tanθ = 1
= tanθ + secθ [As sec2θ - tan2θ = 1]
LHS = RHS
Hence Proved.