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Mathematics problem of Jiangsu college entrance examination in 2007 15.
In fact, it is the root number 2.

You can take a special point for verification, and take point B (0,4).

So ABC is just an isosceles right triangle with B as its vertex.

SinA=sin45= root number 2/2

SinC=sin45= root number 2/2

sinB=sin90= 1

So (sinA+sinC)/sinB= root number 2 is correct.