# Sine & Cosine

Geometry Level 2

If $$\sqrt{3}\cos \theta-\sin \theta=\frac{1}{3}$$ and $$0 < \theta < \frac{\pi}{2},$$ the value of $$\sqrt{3}\sin \theta+\cos \theta$$ can be expressed as $$\frac{\sqrt{a}}{3}$$. What is the value of $$a?$$

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