# Trigo is back

Geometry Level 5

$\frac{\sqrt{3}-1}{\sin\nu}+\frac{\sqrt{3}+1}{\cos\nu}=4\sqrt{2}$ If $$ω_{1},ω_{2}$$ are values of $$\nu$$ satisfying the above equations. $$\nu$$ belongs to $$(0,90°)$$ , then find $$|ω_{1}-ω_{2}|$$.

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