If tan A, tan B are the roots of equation $x^2-px-1=0$, then $\sin^2(A+B)=\dfrac {p^2}{1+p^2}$
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If tan A, tan B are the roots of equation $x^2-px-1=0$, then $\sin^2(A+B)=\dfrac {p^2}{1+p^2}$