(i)[3]
If $35 + \sec^2\theta = 12\tan\theta$, determine the value of $\tan\theta$.
(ii(a))[2]
Hence, using an appropriate formula, determine the exact value of $\tan(\theta - 45^\circ)$.
(ii(b))[2]
Hence, using an appropriate formula, determine the exact value of $\tan 2\theta$.