12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-1
question_answer
If \[{{x}_{1}},\] \[{{x}_{2}},\] \[{{x}_{3}},\] \[{{x}_{4}}\] are roots of the equation \[{{x}^{4}}-{{x}^{3}}\sin 2\beta +{{x}^{2}}\cos 2\beta -x\,\,\cos \beta -\sin \beta =0,\] then \[{{\tan }^{-1}}{{x}_{1}}+{{\tan }^{-1}}{{x}_{2}}+{{\tan }^{-1}}{{x}_{3}}+{{\tan }^{-1}}{{x}_{4}}=\]