Mathematics

Problem

If sides AB, BC and CA of a triangle ABC are represented by

x+2=0

3x+y=0

and

x+3y+2=0

respectively, then identify the correct statement. a.

\sum \tan A = \frac{4}{3}

\prod \tan A = -\frac{4}{3}

\sum \tan A \tan B = -\frac{41}{9}

\sin^2(A+B) + \cos^2 C = \frac{5}{4}