# Obtuse calculation

Geometry Level 2

If $$\tan \theta = \frac{4}{3}$$ for $$\pi \leq \theta \leq \frac{3}{2}\pi$$, what is the value of $\sin \frac{\theta}{2} + 2 \cos \frac{\theta}{2} - 5\tan \frac{\theta}{2}?$

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