A trigonometric problem
Geometry
Level
4
If \(\tan A\) and \(\tan B\) are the roots of \(x^2 - 12x + 32 = 0\).
What is the value of
\[ \sin^2(A+B)- 12\sin(A+B)\cos(A+B) + 32\cos^2(A+B) ? \]
by
Vijay Simha