Express $$6\sin x+8\cos x$$ in the form $R\sin(x+\alpha)$, where $R0$ and \(0^\circ

Question

Express $$6\sin x+8\cos x$$ in the form $R\sin(x+\alpha)$, where $R>0$ and $0^\circ<\alpha<90^\circ$.

Accepted Answer

$10\sin(x+53.1^\circ)$.

Trigonometry