Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Problem
Problem For θ 1 , θ 2 , … , θ n ∈ ( 0 , π 2 ) \theta_1, \theta_2, \dots, \theta_n \in \left(0, \frac{\pi}{2}\right) θ 1 , θ 2 , … , θ n ∈ ( 0 , 2 π ) ln ( sec θ 1 − tan θ 1 ) + ln ( sec θ 2 − tan θ 2 ) + ⋯ + ln ( sec θ n − tan θ n ) + ln π = 0 \ln(\sec \theta_1 - \tan \theta_1) + \ln(\sec \theta_2 - \tan \theta_2) + \dots + \ln(\sec \theta_n - \tan \theta_n) + \ln \pi = 0 ln ( sec θ 1 − tan θ 1 ) + ln ( sec θ 2 − tan θ 2 ) + ⋯ + ln ( sec θ n − tan θ n ) + ln π = 0 cos ( ( sec θ 1 + tan θ 1 ) ( sec θ 2 + tan θ 2 ) … ( sec θ n + tan θ n ) ) \cos((\sec \theta_1 + \tan \theta_1)(\sec \theta_2 + \tan \theta_2) \dots (\sec \theta_n + \tan \theta_n)) cos (( sec θ 1 + tan θ 1 ) ( sec θ 2 + tan θ 2 ) … ( sec θ n + tan θ n )) cos ( 1 π ) \cos\left(\frac{1}{\pi}\right) cos ( π 1 ) Browse the problem library