Two gates. One equation. Solve it and the payloads decrypt in your own browser — there is no server here to ask, and no answer stored anywhere for you to find.
Find θ such that
sin(θ) + cos(θ) = log(θ) · eθ
θ is in radians. log is base 10. e is Euler's number. The root lies between 1 and 2.
Check your candidate against this. Rearranged, it is the same equation, so a
correct θ returns itself — and a wrong one visibly does not:
LN( (SIN(θ) + COS(θ)) / LOG(θ) ) = θ
Feed your value through all three calculators and see whether it comes back. At the root it agrees to fifteen decimals; at π/2 it is off in the second.
Gate 1 opens at six decimals. Three calculators and patience will
get you there.
Gate 2 opens at twelve. They will not.
This panel is a status display. It has no fields to fill in and asks you for nothing — the only input that matters is θ.
everyone who has opened gate 2, refreshed on page load. The gate does not need the scoreboard to work — solving stays local and offline.