Let M and m respectively be the maximum and minimum values of the function $f(x) = \tan^{-1}(\sin x + \cos x)$ in $\left[0, \frac{\pi}{2}\right]$. Then the value of $\tan(M - m)$ is equal to :

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q68

Question 68 of 90 in this shift, Maths question 8 of 30, Section A.

Let M and m respectively be the maximum and minimum values of the function

f(x) = \tan^{-1}(\sin x + \cos x)

\left[0, \frac{\pi}{2}\right]

. Then the value of

\tan(M - m)

is equal to :

Official answer

Option 3

NTA final key.