10. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
- Solve, for \(- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }\)
$$\tan ^ { 2 } \left( 2 x + \frac { \pi } { 4 } \right) = 3$$
- Solve, for \(0 < \theta < 360 ^ { \circ }\)
$$( 2 \sin \theta - \cos \theta ) ^ { 2 } = 1$$
giving your answers, as appropriate, to one decimal place.