Q1
Answer
Solve $7\sin3\theta-6\cos3\theta=3.8$ in the range $0 \leq \theta < 360^{\circ}$.
$21.6, 141.6, 261.6, 65.4, 185.4, 305.4$
Q2
Answer
$f(x) = x^3 + x^2 + px + q$, where $p$ and $q$ are constants. Given that $f(5) = 0$ and $f(-3) = 8$,
  1. Find the values of $p$ and $q$.
  2. Factorise $f(x)$ completely.
  1. $p = -22$, $q = -40$
  2. $(x-5)(x+2)(x+4)$