Solve \(\sqrt 3 \cos x + \sin x = \sqrt 2\), for \(0 \le x \le 2\pi\). First of all we need to put \(\sqrt 3 \cos x + \sin x\) into the form \(k\cos (x - \alpha ...
Many students think they've solved a trig equation when they get one answer (one size of angle \(x^\circ\)). However there's often more than one answer expected so be aware of this. Let's remind ...