Let `cos A + cos B + cos C = 0` and `sin A + sin B + sin C = 0` then which of the following statement(s) is/are correct?

Prove that a cos A + b cos B + c cos C = 4R sin A sin B sin C

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Prove that a cos A+b cos B+c cos C=4R sin A sin B sin C

Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)

cos A sin (BC) + cos B sin (CA) + cos C sin (AB) = 0

Statement: If sin A =sin B, cos A=cos B then A=2n pi +B Statement :II If A+B+C=90^(@) then sin 2A+sin 2B+sin 2C=sin A sin B sin C Which of the above statement is correct?