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Inverse Trigonometric Functions question

2022 · 30 Jun · Shift 1 · Q30

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 30 Jun · Shift 1 · Q30

Inverse Trigonometric Functions question

2022 · 30 Jun · Shift 1 · Q30

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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 :

A
$1 + \sqrt 2 + \pi$
B
$\left( {1 + \sqrt 2 } \right)\pi$
C
$\pi + \sqrt 2$
D
$1 + \pi$

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