Consider f(x) = tan^-1 (√((1+sin x)/(1-sin x)) ), x ∈ (0, (π)/2 ). A normal to y = f(x) at x = (π)/6 also passes through the point

Consider f(x) = tan^-1 (√((1+sin x)/(1-sin x)) ), x ∈ (0,… — JEE Main 2016 Mathematics PYQ

JEE Main 2016

Consider

f(x) = \tan^{-1}\left(\sqrt{\dfrac{1+\sin x}{1-\sin x}}\right), x \in \left(0, \dfrac{\pi}{2}\right)

.

A normal to

y = f(x)

x = \dfrac{\pi}{6}

also passes through the point

Show answer

Correct option: B

[JEE Main 2016]

Practise Application of Derivatives the way it is asked

A timed set of real JEE Main Application of Derivatives questions, graded as the exam grades. No sign-up.