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Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 2 · Q27

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JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 28 Jul · Shift 2 · Q27

Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 2 · Q27

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The sum of the absolute maximum and absolute minimum values of the function

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

in the interval

[0, \pi]

is :

A
0
B
$\tan ^{-1}\left(\frac{1}{\sqrt{2}}\right)-\frac{\pi}{4}$
C
$\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)-\frac{\pi}{4}$
D
$\frac{-\pi}{12}$

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