If θ = sin –1 x + cos –1 x – tan –1 x, x ≥ 0, then the smallest interval in which θ lies…

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. \(\frac{\pi}{2} \leq \theta \leq \frac{3 \pi}{4}\)
2. \(-\frac{\pi}{4} \leq \theta \leq 0\)
3. \(0 \leq \theta \leq \frac{\pi}{4}\)
4. \(\frac{\pi}{4} \leq \theta \leq \frac{\pi}{2}\)

Answer

(D) 4 2

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