Question

If tanA and tanB are the roots of the
equation ax^2+bx+c=0 then the value of
tan (A+B) is :​

Answer 1

Answer:

b/c-a

Step-by-step explanation:

TanA and TanB are the roots of the quadratic equation ax^2+bx+c=0

Sum of Roots = TanA + TanB = - b/a

Product of roots = TanATanB = c/a

Tan(A+B) = TanA + TanB / 1 - TanATanB

               = (- b/a) / (1 - c/a)

               = (-b/a) / (a - c /a)

               = - b/ a - c

               = b/c-a