Watch this video to learn about solving trigonometric equations. Let's remind ourselves of what the sine graph looks like so that we can see how many solutions we should be expecting: Therefore ...

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 ...