Independently Derived Equations

y = {sin}^{-1} cos x

y = {- cot}^{-1} tan x

y = {tan}^{-1} sin x + {cot}^{-1} sin x

{sin}^{-1} \frac{t'}{t} = {cos}^{-1} \frac{v}{c}

T = (2 \times 8 \times 18 \times 32) (π - 1) + 8

α = \frac{1}{8^{2}} \frac{T}{T (π - 1) - 8}

H_{0} = 66.8713 km/sec/Mpc