FC311 KICL 11.5 Vectors and Advanced Trigonometry Class Test AY 24 25

a) Find \(R>0\) and \(\alpha\) with \(0<\alpha< 90^{\circ}\) such that \[ 5\cos(x)+4\sin(x)\equiv R \sin(x+\alpha). \] State the exact value of \(R\) and give the value of \(\alpha\) in degrees, to \(...