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 ...
It may be necessary to use Pythagoras' theorem and trigonometry to solve a problem ... button on the calculator \(x = 25.4^\circ\). The cosine rule is: \(a^2 = b^2 + c^2 - 2bc \cos{A}\).