# Who Needs a Calculator

Geometry Level 4

Find the smallest possible positive value of $$\theta$$ such that $\tan^2(\theta)=\sec (\theta).$

If $$\theta$$ can be represented by $$\tan^{-1}\left( \ \sqrt{\dfrac{a+\sqrt{b}}{c}}\ \right)$$ where $$b$$ is square free and $$a,b,c$$ are integers. Find $$a+b+c$$.

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