Know your continued fractions

Geometry Level 4

8sinπ10cosπ5+4sinπ10+1=α+1α+1α+1α+8\sin { \frac { \pi }{ 10 } \cos { \frac { \pi }{ 5 } } } +4\sin { \frac { \pi }{ 10 } } +1=\alpha +\cfrac { 1 }{ \alpha +\cfrac { 1 }{ \alpha +\cfrac { 1 }{ \alpha +\ddots } } } Find α\alpha.


This problem is original.

Image credit: Wikimedia Levochik

×

Problem Loading...

Note Loading...

Set Loading...