If in doubt, \(k\cos (x - \alpha )\) usually works. These worked examples show the processes you'll need to go through to rewrite an expression in this form. Write \(2\sin x^\circ + 5\cos x^\circ ...

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 ...