Prove that: 2tan(15°) + sec(5√27) + 2tan(18°) = π/4

2tan(15°) + sec(5√27) + 2tan(18°) = 2tan(15° + 18°) + sec(5√27) = 2[tan(33°)] + sec(5√27) = tan(33°) + sec(5√27) = tan(33°) + tan(33°) = tan(33°) = π/4