Let M and m respectively be the maximum and minimum values of the function f(x) = tan⁻¹ (sin x + cos x) in [ 0,(π)/2 ], then the value of tan(M - m) is equal to:

Trigonometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q4105

JEE Main 202127 Aug, Evening shiftMathematicsEasyTrigonometry118× since 2002

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,{\pi \over 2}} \right]

, then the value of tan(M

-

m) is equal to :