If sin A and cos A are the roots of the equation ax^2 - bx + c = 0, then a, b and c satisfy the equation: (A) b^2 - a^2 = 2ac, (B) a^2 - b^2 = 2ac, (C) a^2 + b^2 = c^2 ,(D) a^2 + b^2 = 2ac

A: 
The algebra is tedious, but manageable. Use the pythagorean trig identity for sine and cosine set equal to the squares of the 2 roots written in quadratic equation form. Expand and simplify.