Question

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Answer 1

Explicație pas cu pas:

$0 < \frac{\pi}{12} < \frac{\pi}{2} = >I$

$\frac{5\pi}{3} = \frac{3\pi}{2} + \frac{1}{6} = > \\ \frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi = > IV$

$\frac{3\pi}{4} = \frac{\pi}{2} + \frac{1}{4} \\ \frac{\pi}{2} < \frac{3\pi}{4} \leqslant \pi = > II$

$\frac{11\pi}{12} = \frac{\pi}{2} + \frac{5\pi}{12} \\ \frac{\pi}{2} < \frac{11\pi}{12} \leqslant \pi = > II$

$\frac{5\pi}{6} = \frac{\pi}{2} + \frac{\pi}{3} \\ \frac{\pi}{2} < \frac{5\pi}{6} \leqslant \pi = > II$

$\frac{5\pi}{4} = \pi + \frac{\pi}{4} \\ \pi < \frac{5\pi}{4} \leqslant \frac{\pi}{2} = > III$

$\frac{7\pi}{6} = \pi + \frac{\pi}{6} \\ \pi < \frac{7\pi}{6} \leqslant \frac{\pi}{2} = > III$

$\frac{7\pi}{3} = 2\pi + \frac{\pi}{3} = > \\ 0 < \frac{\pi}{3} < \frac{\pi}{2} \\ \frac{7\pi}{3} = > I$

$\frac{7\pi}{4} = \frac{3\pi}{2} + \frac{\pi}{4} = > \\ \frac{3\pi}{2} < \frac{7\pi}{4} < 2\pi = > IV$

$\frac{11\pi}{6} = \frac{3\pi}{2} + \frac{\pi}{3} = > \\ \frac{3\pi}{2} < \frac{11\pi}{6} < 2\pi = > IV$

$0 < \frac{5\pi}{12} < \frac{\pi}{2} = >I$

$\frac{7\pi}{12} = \frac{\pi}{2} + \frac{\pi}{12} \\ \frac{\pi}{2} < \frac{7\pi}{12} \leqslant \pi = > II$

$\frac{5\pi}{3} = \frac{3\pi}{2} + \frac{\pi}{6} = > \\ \frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi = > IV$

$0 < \frac{\pi}{3} < \frac{\pi}{2} = >I$

$0 < \frac{\pi}{4} < \frac{\pi}{2} = >I$