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. From this ...

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 ...

Let X be a complex Banach spcce, and denote by T a strongly continuous semigroup of linear operators denned on X and C by a cosine function of operators with associated sine function S defined on X.