Solve the equation \(5\sin 2x^\circ + 7\cos x^\circ = 0\) for \(0^\circ \le x^\circ \le 360^\circ\) Which gives us solutions of \(90^\circ ,224.4^\circ ,270^\circ ,315.6^\circ\) There are two more ...

Given any expression of the form \(a\cos x + b\sin x\) it is better to rewrite it into one of the forms \(k\cos (x \pm \alpha )\) or \(k\sin (x \pm \alpha )\) before answering the question.