If tanα\tan \alphatanα and tanβ\tan \betatanβ are roots of x2−px+q=0x^2 - px + q = 0x2−px+q=0, what is sin2(α+β)\sin^2(\alpha + \beta)sin2(α+β)?
p2/(p2+(1−q)2)p^2 / (p^2 + (1-q)^2)p2/(p2+(1−q)2)
p2/(p2+(1+q)2)p^2 / (p^2 + (1+q)^2)p2/(p2+(1+q)2)
q2/(p2+(1−q)2)q^2 / (p^2 + (1-q)^2)q2/(p2+(1−q)2)
(1−q)2/(p2+(1−q)2)(1-q)^2 / (p^2 + (1-q)^2)(1−q)2/(p2+(1−q)2)