(a) Show that

\(\frac1{\operatorname{sec}x-1}+\frac1{\operatorname{sec}x+1} =2\operatorname{cot} x\operatorname{cosec}x.\)

(b) Hence solve the equation

\(\frac1{\operatorname{sec}x-1}+\frac1{\operatorname{sec}x+1} =3\operatorname{sec}x\)

for \(0^\circ\lt x\lt 360^\circ\).