(a) Solve

\(2\sin\left(x+\frac{\pi}{4}\right)=\sqrt3\)

for \(0\lt x\lt \pi\) radians.

(b) Solve

\(3\operatorname{sec} y=4\operatorname{cosec}y\)

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

(c) Solve

\(7\operatorname{cot} z-\tan z=2\operatorname{cosec}z\)

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