(a) Given that \(\operatorname{cot}^2\theta=\frac{1}{y+2}\) and \(\operatorname{sec}\theta=x-4\), find \(y\) in terms of \(x\).

(b) Solve the equation

\(\sqrt3\,\operatorname{cosec}\left(2\phi+\frac{3\pi}{4}\right)=2,\)

for \(-\pi\lt\phi\lt\pi\), giving your answers in terms of \(\pi\).