For any `triangleABC` show that `c^2(sin^2B-sin^2A)+b^2(sin^2A-sin^2C)+a^2(sin^2C-sin^2B)=0`

In any triangle ABC show that b^2sin2C+c^2sin 2B=abc/R

In triangle ABC if sin^2B+sin^2C=sin^2A then

In any triangle ABC prove that sin2A+sin2B+sin2C=(abc)/(2R^3)

In triangleABC sin^2A+sin^2B =sin^2C then angleC=

(i) If in a triangle ABC, a^(4) + b^(4) +c^(4) - 2b^(2) c^(2) -2c^(2)a^(2)=0 , then show that, C=45^(@) or 135^(@) . (ii) In in a triangle ABC, sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2sin^(2) C sin^(2)A + 2sin^(2)A sin^(2)B , show that, one of the angles of the triangle is 30^(@) or 150^(@)

In any triangle ABC, prove that (a^(2)sin(B-C))/(sin B + sinC) + (b^(2)sin(C-A))/(sinC + sinA) +(c^(2)sin(A-B))/(sinA + sinB)=0

Prove that sin^2B=sin^2A+sin^2(A-B)-2sinAcosBsin(A-B)

If in triangleABC ,sin^4A+sin^4B+sin^4C=sin^2Bsin^2C+2sin^2Csin^2A+2sin^2Asin^2B then show that angle A is either 30^@ or 150^@

For triangleABC prove that (sin A+sin B)(sin B+sin C)(sin C+sin A)gtsinAsinBsinC

In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-