Describe the single geometrical transformation by which the curve with equation \(y = \tan \frac { 1 } { 2 } x\) can be obtained from the curve \(y = \tan x\).
Solve the equation \(\tan \frac { 1 } { 2 } x = 3\) in the interval \(\mathbf { 0 } < \boldsymbol { x } < \mathbf { 4 } \boldsymbol { \pi }\), giving your answers in radians to three significant figures.
Solve the equation
$$\cos \theta ( \sin \theta - 3 \cos \theta ) = 0$$
in the interval \(0 < \theta < 2 \pi\), giving your answers in radians to three significant figures.
(5 marks)