# I'm so bad at trig

Geometry Level pending

Let there be 2 acute angles, $$\theta$$ and $$\beta$$ which satisfy the relation $$a \sec \theta + b\sec \beta = c$$, where $$a,b,c$$ are positive integers. Given that $$\theta = 72$$, find the value of $$\beta$$ that minimizes the expression $$a \cos(72) + b\cos\beta$$.

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