Find all values of in that satisfy .

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

Problem

Find all values of θ\theta in 0≤θ<2π0\le \theta < 2\pi that satisfy cos⁡θ=12\cos\theta = \dfrac{1}{2}. (a) {π6,  11π6}\left\{\dfrac{\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) {π3,  2π3}\left\{\dfrac{\pi}{3},\;\dfrac{2\pi}{3}\right\}

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