(a)[4]
Given that $x > 0$, Find the two smallest values of $x$, measured in radians, that satisfy $3\tan(2x + 1) = 1$. Show all necessary working.
(b(i))[1]
For $0 \leq x \leq \pi$, the function $f$ is given by $f : x \mapsto 3\cos^2 x - 2\sin^2 x$. Express $f(x)$ in the form $a\cos^2 x + b$, where $a$ and $b$ are constants.
(b(ii))[2]
Find the range for $f$.