JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +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]

View answer and explanation

Correct option: C

\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)-\frac{\pi}{4}

Option C (

\cos ^{-1}\left(\frac{1}{\sqrt{3}}\right)-\frac{\pi}{4}

) is correct because it represents the sum of the absolute maximum and absolute minimum values of the function within the given interval.

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