Bound these Sines

Algebra Level 5

If mm is the minimum value and MM is the maximum value of

cyc(sinα+sinβsinγsinαsinβsinγ),\sum_{cyc} (\sin\alpha+\sin\beta\sin\gamma-\sin\alpha\sin\beta\sin\gamma),

then what is the value of Mm?\lfloor M-m \rfloor?

×

Problem Loading...

Note Loading...

Set Loading...