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.

The graph of \(y = \cos{\theta}\) has a maximum value of 1 and a minimum value of -1. The graph has a period of 360°. Draw the horizontal line \(y = 0.5\). The line \(y = 0.5\) crosses the graph ...