Question 10
**(a)** Express $5\sin\left(x+\frac{1}{6}\pi\right)-4\cos x$ in the form $R\sin(x-\alpha)$, where $R \gt 0$ and $0 \lt \alpha \lt \frac{1}{2}\pi$. State the exact value of $R$ and give the value of $\alpha$ correct to 3 decimal places.
