Solve the equation
$$\operatorname { cosec } x = 3$$
giving all values of \(x\) in radians to two decimal places, in the interval \(0 \leqslant x \leqslant 2 \pi\).
(2 marks)
By using a suitable trigonometric identity, solve the equation
$$\cot ^ { 2 } x = 11 - \operatorname { cosec } x$$
giving all values of \(x\) in radians to two decimal places, in the interval \(0 \leqslant x \leqslant 2 \pi\).
(6 marks)