trigonometry

Question: If $\tan \alpha ,\tan \beta $are the roots of the equation ${{x}^{2}}+px+q=0\text{ }(p\ne 0),$ then



1) ${{\sin }^{2}}(\alpha +\beta )+p\sin (\alpha +\beta )\cos (\alpha +\beta )+q{{\cos }^{2}}(\alpha +\beta )=q$
2) $\tan (\alpha +\beta )=\frac{p}{q-1}$
3) $\cos (\alpha +\beta )=1-q$
4) $\sin (\alpha +\beta )=-p$
Solution: Explanation: No Solution
Trigonometric ratios of sum and difference of two and three

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