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Inverse Trigonometric Functions question

2021 · 27 Aug · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2021 · 27 Aug · Shift 2 · Q25

Inverse Trigonometric Functions question

2021 · 27 Aug · Shift 2 · Q25

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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 :

A
$2 + \sqrt 3$
B
$2 - \sqrt 3$
C
$3 + 2\sqrt 2$
D
$3 - 2\sqrt 2$

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