The function f(x)= ^ -1 ( x+ x) is an increasing function in :
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The function \(f(x)=\tan ^{-1}(\sin x+\cos x)\) is an increasing function in :
- \(\left(\frac{\pi}{4}, \frac{\pi}{2}\right)\)
- \(\left(-\frac{\pi}{2}, \frac{\pi}{4}\right)\)
- \(\left(0, \frac{\pi}{2}\right)\)
- \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)
Answer
(A) ( 4 , 2 )
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