In `DeltaABC`, if `|(1,1,1),(1+ sin A,1+ sin B,1+ sinC),(sin A+ sin^2B,sin B+ sin^2C,sinC+ sin^2A)|` then `DeltaABC` is

det[[ In Delta ABC, if ,1,11+sin A,1+sin B,1+sin Csin A+sin^(2)B,sin B+sin^(2)C,sin C+sin^(2)A]]

If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1 + sin B,1 + sin C),(sin A + sin^(2) A,sin B + sin^(2)B,sin C + sin^(2) C)|= 0 , then the triangle ABC is

If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1 + sin B,1 + sin C),(sin A + sin^(2) A,sin B + sin^(2)B,sin C + sin^(2) C)|= 0 , then the triangle ABC is

In a triangleABC , if |(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB+sin^2B,sinC+sin^2C)|=0 , then prove that triangleABC is an isosceles triangle.

In a triangleABC , if |(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB+sin^2B,sinC+sin^2C)|=0 , then prove that triangleABC is an isosceles triangle.

In a /_ABC, if |[1,1,1,1][1+sin A,1+sin B,1+sin Csin A+sin^(2)A,sin B+sin^(2)B,sin C+sin^(2)C]|= ,then prove that /_ABC is an isosceles triangle.

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 Delta ABC must be .

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,sinC+sin^(2)C):}| =0 then prove that Delta ABC must be isoceles.