Solve the equation \(\tan x = - \frac { 1 } { 3 }\), giving all the values of \(x\) in the interval \(0 < x < 2 \pi\) in radians to two decimal places.
Show that the equation
$$3 \sec ^ { 2 } x = 5 ( \tan x + 1 )$$
can be written in the form \(3 \tan ^ { 2 } x - 5 \tan x - 2 = 0\).
Hence, or otherwise, solve the equation
$$3 \sec ^ { 2 } x = 5 ( \tan x + 1 )$$
giving all the values of \(x\) in the interval \(0 < x < 2 \pi\) in radians to two decimal places.
(4 marks)