- In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
- Show that the equation
$$\frac { 3 \sin \theta \cos \theta } { \cos \theta + \sin \theta } = ( 2 + \sec 2 \theta ) ( \cos \theta - \sin \theta )$$
can be written in the form
$$3 \sin 2 \theta - 4 \cos 2 \theta = 2$$
- Hence solve for \(\pi < x < \frac { 3 \pi } { 2 }\)
$$\frac { 3 \sin x \cos x } { \cos x + \sin x } = ( 2 + \sec 2 x ) ( \cos x - \sin x )$$
giving the answer to 3 significant figures.