# What a nice cosines sum!

Geometry Level 3

If $\large{\displaystyle \cos^2(1˚)+\cos^2(2˚)+\cos^2(3˚)+\dots+\cos^2(90˚)=\frac{a}{b}},$ where $$a$$ and $$b$$ are positive co-prime integers, find $$a+b$$.

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