Sine and Cosine

Geometry Level 1

\(If\quad (0\le \theta <2\pi )\quad and\\ \sin { \frac { \theta }{ 2 } } +\sqrt { 3 } \cos { \frac { \theta }{ 2 } } =1\\ ,\quad what\quad is\quad the\quad value\quad of\quad \theta ?\)

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