# Identity cosines

Geometry Level 3

$\large \alpha{\cos}^2 3\theta + \beta{\cos}^4\theta = 16 {\cos}^6\theta + 9 {\cos}^2\theta$

Let $$\alpha$$ and $$\beta$$ be constants such that the equation above is a trigonometric identity. Find $$\alpha + \beta$$.

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