(a) Solve

\(\tan3x=-1\)

for \(-\frac{\pi}{2}\leq x\leq\frac{\pi}{2}\) radians, giving your answers in terms of \(\pi\).

(b) Use your answers to part (a) to sketch the graph of

\(y=4\tan3x+4\)

for \(-\frac{\pi}{2}\leq x\leq\frac{\pi}{2}\) radians. Show the coordinates of the points where the curve meets the axes.