If `A+B+C=pi`, show that : `1/2 sum sin^2 A (sin 2B+sin 2C) = 3 sin A sin B sin C`.

Theorem 1:sin2A+sin2B+sin2C=4sin A sin B sin C

If A+B+C= pi/2 , show that : sin^2 A + sin^2 B + sin^2 C=1-2 sinA sinB sinC

If A + B + C = pi , show that cot A + sinA/(sin B sin C) = cot B + sin B/(sin C sin A) = cot C + sin C/(sin A sin B)

If A+B+C =180^(@) then prove that sin 2A + sin 2B+ sin 2C = 4 sin A sin B sin C

If A+B+C = 2pi , show that sin^(3)A+sin^(3)B + sin^(3)C = 3sin A/2* sin B/2* sin C/2 - sin3A/2*sin 3B/2 * sin3C/2

sin ^ (2) A + sin ^ (2) B-sin ^ (2) C = 2sin A sin B cos C

If A+B+C =pi , prove that sin 2A+sin 2B+sin 2C=4 sin Asin B sin C.

If A+B+C=(3pi)/(2) , then show that cos 2A+cos 2B+cos 2C=1-4 sin A sin B sin C .

If A+B+C=pi , prove that : (sin 2A+sin 2B + sin 2C)/(sinA+sinB+sinC) = 8 sin(A/2) sin(B/2) sin(C/2)