- (a) Show that the equation
$$\tan 2 x = 5 \sin 2 x$$
can be written in the form
$$( 1 - 5 \cos 2 x ) \sin 2 x = 0$$
(b) Hence solve, for \(0 \leqslant x \leqslant 180 ^ { \circ }\),
$$\tan 2 x = 5 \sin 2 x$$
giving your answers to 1 decimal place where appropriate.
You must show clearly how you obtained your answers.