1.1. Using the double angle formula sin $2A\equiv2$ sin $A$ cos $A$, show that the equation

sec $x$ cosec $x-5=$cosec $2x$

can be rewritten in the form

coesec $2x=5$.

1.2. Hence solve, in the range $0\leqx\leq2 \pi$, the equation

sec $x$ cosec $x$$-5=$cosec $2x$

giving your answers correct to 3 significant figures.