Two beads connected by a taut thread on friction-less wire ring Proof

[Alexander Marks]

Homework Statement

NUMBER 271

Homework Equations

Not Really Sure

The Attempt at a Solution

No Idea where to start, I looked up the law of Tangents and it seems to do with that. Please help! :)
I am also confident that it has to do with equilibrium?

 

[haruspex]

Not Really Sure

It's a statics question, right? So you should be thinking, free body diagrams, sums of forces...