If tan α and tan β are the roots of the equation x^2+px+q=0, then the value of \sin^2(\alpha+\beta)+p\cos(\alpha+\beta)\sin(\alpha+\beta)+q\cos^2(\alpha+\beta) is

AP EAMCET Engineering 26 Apr 2017 Shift 1 Paper

Section: Mathematics

Question : 21 of 160

Marks: +1, -0

If tan α and tan β are the roots of the equation x2+px+q=0, then the value of

sin2(α+β)+p‌cos(α+β)‌sin(α+β)+qcos2(α+β)

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