1.15: Tangent equation and graph sketch

Solve $\tan 3x = -1$ for $-\tfrac{\pi}{2} \le x \le \tfrac{\pi}{2}$ radians, giving your answers in terms of $\pi$.

Use your answers to part (a) to sketch the graph of $y = 4\tan 3x + 4$ for $-\tfrac{\pi}{2} \le x \le \tfrac{\pi}{2}$ radians on the axes below. Show the coordinates of the points where the curve meets the axes.