Trigonometry - Trigonometric Equations

The function \(f\) is defined by \(f:x \rightarrow 30\sin{3x}\cos{3x}\), \(0 \leq x \leq \frac{\pi}{3}\)

1. Write down an expression for \(f(x)\) in the form \(a\sin{6x}\), where \(a\) is an integer.
2. Solve \(f(x) = 0\), giving your answers in terms of \(\pi\).