- In this question you must show all stages of your working.
\section*{Solutions relying entirely on calculator technology are not acceptable.}
- Show that the equation
$$2 \sin \theta \left( 3 \cot ^ { 2 } 2 \theta - 7 \right) = 13 \sec \theta$$
can be written as
$$3 \operatorname { cosec } ^ { 2 } 2 \theta - 13 \operatorname { cosec } 2 \theta - 10 = 0$$
- Hence solve, for \(0 < \theta < \frac { \pi } { 2 }\), the equation
$$2 \sin \theta \left( 3 \cot ^ { 2 } 2 \theta - 7 \right) = 13 \sec \theta$$
giving your answers to 3 significant figures.