# Trigonometric Identities

Geometry Level 2

Let $$\alpha$$ and $$\beta$$ be the values of $$\theta$$ that satisfy $$\sin \theta + \sqrt{3} \cos \theta = 0$$, where $$0 \leq \theta \leq 2\pi$$. What is the value of $$\tan^2\left(\alpha + \beta\right)$$?

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