If , where , then the smallest interval in which lies…

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If θ=sin⁡−1x+cos⁡−1x−tan⁡−1x\theta=\sin^{-1}x+\cos^{-1}x-\tan^{-1}x, where x≥0x\geq0, then the smallest interval in which θ\theta lies is (a) π4≤θ≤3π4\frac{\pi}{4}\leq\theta\leq\frac{3\pi}{4} (b) 0≤θ≤π0\leq\theta\leq\pi (c) −π4≤θ≤0-\frac{\pi}{4}\leq\theta\leq0 (d) π4≤θ≤π2\frac{\pi}{4}\leq\theta\leq\frac{\pi}{2}

Related theory

Browse the problem library