Find the principal solutions of in the interval .

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Problem

Find the principal solutions of cos⁡x=12\cos x = \dfrac12 in the interval [0,2π)[0,2\pi). (a) x=π6, 11π6x = \dfrac{\pi}{6},\ \dfrac{11\pi}{6} (b) x=2π3, 4π3x = \dfrac{2\pi}{3},\ \dfrac{4\pi}{3} (c) x=π3, 5π3x = \dfrac{\pi}{3},\ \dfrac{5\pi}{3} (d) x=π3, 4π3x = \dfrac{\pi}{3},\ \dfrac{4\pi}{3}

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