Let m and M respectively be the minimum and the maximum values of f(x) = sin ⁻¹2x + sin 2x + cos ⁻¹2x + cos 2x, x [ 0,(π)/8 ]. Then m + M is equal to:

Trigonometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 30 Jun, Morning shift · Q4110

JEE Main 202230 Jun, Morning shiftMathematicsMediumTrigonometry118× since 2002

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

f(x) = {\sin ^{ - 1}}2x + \sin 2x + {\cos ^{ - 1}}2x + \cos 2x,\,x \in \left[ {0,{\pi \over 8}} \right]

. Then m + M is equal to :

JEE Main 2022 · 30 Jun, Morning shift · Q4110

JEE Main 202230 Jun, Morning shiftMathematicsMediumTrigonometry118× since 2002

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

f(x) = {\sin ^{ - 1}}2x + \sin 2x + {\cos ^{ - 1}}2x + \cos 2x,\,x \in \left[ {0,{\pi \over 8}} \right]

. Then m + M is equal to :