The variable satisfying the equation | x x|+ 2+ ^2x+ ^2x = 3 belongs to the interval

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The variable xx satisfying the equation ∣sin⁡xcos⁡x∣+2+tan⁡2x+cot⁡2x=3|\sin x\cos x|+\sqrt{2+\tan^2x+\cot^2x}=\sqrt{3} belongs to the interval (1) [0,π3]\left[0,\frac{\pi}{3}\right] (2) [π3,π2]\left[\frac{\pi}{3},\frac{\pi}{2}\right] (3) [3π4,π]\left[\frac{3\pi}{4},\pi\right] (4) Non-existent

Related theory

Browse the problem library