Find all values of that satisfy .

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

Problem

Find all values of θ∈[0,2π)\theta\in[0,2\pi) that satisfy cos⁡2θ=12\cos 2\theta=\dfrac12. (a) {π3, 2π3, 4π3, 5π3}\Big\{\dfrac{\pi}{3},\,\dfrac{2\pi}{3},\,\dfrac{4\pi}{3},\,\dfrac{5\pi}{3}\Big\} (b) {π6, 5π6, 7π6, 11π6}\Big\{\dfrac{\pi}{6},\,\dfrac{5\pi}{6},\,\dfrac{7\pi}{6},\,\dfrac{11\pi}{6}\Big\} (c) {π6, 2π3, 7π6, 5π3}\Big\{\dfrac{\pi}{6},\,\dfrac{2\pi}{3},\,\dfrac{7\pi}{6},\,\dfrac{5\pi}{3}\Big\} (d) {π3, 5π3}\Big\{\dfrac{\pi}{3},\,\dfrac{5\pi}{3}\Big\}

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