Sums upto 2020

Geometry Level 4

sin 10 ° + sin 20 ° + sin 30 ° + + sin 2020 ° cos 10 ° + cos 20 ° + cos 30 ° + + cos 2020 ° = tan x ° \frac{\sin 10\degree +\sin 20\degree+\sin 30\degree+\cdots+\sin 2020\degree}{\cos 10\degree+\cos 20\degree+\cos 30\degree+\cdots+\cos 2020\degree}=\tan x\degree

Find the smallest positive integer x x satisfying the equation above.


The answer is 115.

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