Let s,R and r be the semi-perimeter, Circumradius and Inradius of triangle ABC respectively. Then show that:

1) 8r²(cos(A-B)+cos(B-C)+cos(C-A)) ≤ s²-3r²

2) (1/(sinA*sinB))+(1/(sinB*sinC))+(1/(sinC*sinA)) ≥ 4