CBSE

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

Problem

If 3sin⁡x−cos⁡x=min⁡α∈R{2,e2,π,α2−4α+7}\sqrt{3}\sin x-\cos x=\min_{\alpha\in\mathbb{R}}\{2,e^2,\pi,\alpha^2-4\alpha+7\}, then (1) x=2nπ, n∈Zx=2n\pi,\ n\in\mathbb{Z} (2) x=2nπ+2π3, n∈Zx=2n\pi+\frac{2\pi}{3},\ n\in\mathbb{Z} (3) x=nπ+(−1)nπ4+π6, n∈Zx=n\pi+(-1)^n\frac{\pi}{4}+\frac{\pi}{6},\ n\in\mathbb{Z} (4) x=nπ+(−1)n+1π4−π3, n∈Zx=n\pi+(-1)^{n+1}\frac{\pi}{4}-\frac{\pi}{3},\ n\in\mathbb{Z}

Related theory

Browse the problem library