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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

$\sin^2(A+B)- 12\sin(A+B)\cos(A+B) + 32\cos^2(A+B) ?$

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Excel in math and science

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by Vijay Simha

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