is equal to

Note: Since all the options involve the trigonometric ratios sec θ and tan θ, so we divide the whole term (numerator as well as denominator) by cos θ.


To find:

Consider


Dividing numerator and denominator by cos θ, we get



Rationalizing the term by multiplying it by ,




Now, as 1 + tan2 θ = sec2 θ


sec2 θ – tan2 θ = 1


3