express (tan@ + (tan@)^-1)^-1 in the form asin(n@) for constants a and n
btw Ive used @ as theta
$\displaystyle (\tan{t} + \cot{t})^{-1}$
$\displaystyle \frac{1}{\tan{t} + \cot{t}}$
multiply by $\displaystyle \frac{\sin{t}\cos{t}}{\sin{t}\cos{t}}$ ...
$\displaystyle \frac{\sin{t}\cos{t}}{\sin^2{t} + \cos^2{t}}$
$\displaystyle \sin{t}\cos{t}$
$\displaystyle \frac{1}{2}\sin(2t)$