a + c = 2b
sinA + sinC = 2sinB
2sin(A/2 + C/2)cos(A/2 - C/2) = 2sinB = 4sin(B/2) cos(B/2)
因A/2 + B/2 + C/2 = 90度,所以sin(A/2 + C/2) = cos(B/2)
因0< B < 180度,即0< B/2< 90度,故cos(B/2) 不是0,
所以cos(A/2 - C/2) = 2sin(B/2)
即sin(B/2) = (1/2)cos(A/2 - C/2)
因此,0 < sin(B/2)