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If A,B and C are the angles of a triangl...

If A,B and C are the angles of a triangle and
`|{:(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^(2)A,sinB+sin^(2)B,sinCsin^(2)C):}|` =0
then prove that `Delta` ABC must be isoceles.

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