The maximum value of in the interval is attained at

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

Problem

The maximum value of sin⁡(x+π6)+cos⁡(x+π6)\sin\left(x + \frac{\pi}{6}\right) + \cos\left(x + \frac{\pi}{6}\right) in the interval (0,π2)\left(0, \frac{\pi}{2}\right) is attained at (1) π12\frac{\pi}{12} (2) π6\frac{\pi}{6} (3) π3\frac{\pi}{3} (4) π2\frac{\pi}{2}

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