Mathematics

Mathematics

Problem

Find all values of xx that satisfy cos⁡x=−12\cos x = -\dfrac{1}{2} in the interval 0≤x<2π0 \le x < 2\pi. a) {5π6, 11π6}\left\{\dfrac{5\pi}{6},\,\dfrac{11\pi}{6}\right\} b) {2π3, 4π3}\left\{\dfrac{2\pi}{3},\,\dfrac{4\pi}{3}\right\} c) {π3, 5π3}\left\{\dfrac{\pi}{3},\,\dfrac{5\pi}{3}\right\} d) {7π6, 11π6}\left\{\dfrac{7\pi}{6},\,\dfrac{11\pi}{6}\right\}

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