A geometry problem by Shivam Hinduja

Geometry Level 3

\[ \sqrt{ 4 \sin ^4 \theta + \sin ^2 2 \theta } + 4 \cos ^2 \left ( \frac{ \pi}{4} - \frac{ \theta } { 2} \right) \]

If \( \theta \) is in the third quadrant, then what is the value of the expression above?

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