# What Formula Connects Cosine To Tangent?

Geometry Level 3

$\begin{cases} \cos \alpha = \tan \beta \\ \cos \beta = \tan \gamma \\ \cos \gamma = \tan \alpha \end{cases}$

The acute angles $$\alpha, \beta$$ and $$\gamma$$ satisfy the system of equations above. Find $$\sin \gamma$$.

Give your answer to 2 decimal places.

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