Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Let α = 3 cos − 1 ( 5 28 ) + 3 tan − 1 ( 3 2 ) \alpha = 3 \cos^{-1} \left( \frac{5}{\sqrt{28}} \right) + 3 \tan^{-1} \left( \frac{\sqrt{3}}{2} \right) α = 3 cos − 1 ( 28 5 ) + 3 tan − 1 ( 2 3 )
Mathematics
Problem Let α = 3 cos − 1 ( 5 28 ) + 3 tan − 1 ( 3 2 ) \alpha = 3 \cos^{-1} \left( \frac{5}{\sqrt{28}} \right) + 3 \tan^{-1} \left( \frac{\sqrt{3}}{2} \right) α = 3 cos − 1 ( 28 5 ) + 3 tan − 1 ( 2 3 ) β = 4 sin − 1 ( 7 2 10 ) − 4 tan − 1 ( 3 4 ) , \beta = 4 \sin^{-1} \left( \frac{7\sqrt{2}}{10} \right) - 4 \tan^{-1} \left( \frac{3}{4} \right), β = 4 sin − 1 ( 10 7 2 ) − 4 tan − 1 ( 4 3 ) , α < π \alpha < \pi α < π β > π \beta > \pi β > π α > π \alpha > \pi α > π β < π \beta < \pi β < π α \alpha α β \beta β cos ( α + β ) = 0 \cos(\alpha + \beta) = 0 cos ( α + β ) = 0 Browse the problem library