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    NationalHardTrigonometry10–12

    What is the sum of the solutions of 2\cos x = 1 in the interval [0, 2\pi[?

    Qual é a soma das soluções de 2\cos x = 1 no intervalo [0, 2\pi[?

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    Solution

    Step 1 of 3

    1. 1.The equation gives \cos x = \frac{1}{2}, whose solutions in [0, 2\pi[ are x = \frac{\pi}{3} and x = \frac{5\pi}{3}.