- (a) Prove, by counter-example, that the statement
$$\text { "cosec } \theta - \sin \theta > 0 \text { for all values of } \theta \text { in the interval } 0 < \theta < \pi \text { " }$$
is false.
(b) Find the values of \(\theta\) in the interval \(0 < \theta < \pi\) such that
$$\operatorname { cosec } \theta - \sin \theta = 2$$
giving your answers to 2 decimal places.