How many solutions are there to
$$( 1 + 3 \cos 3 \theta ) ^ { 2 } = 4$$
in the interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$ ?
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How many solutions are there to

$$( 1 + 3 \cos 3 \theta ) ^ { 2 } = 4$$

in the interval $0 ^ { \circ } \leq \theta \leq 180 ^ { \circ }$ ?