Do you know its property ? -9

Algebra Level 5

Which of the following conditions make the function \(f(x)=\sin(ax) +\cos(bx)\) periodic?

A. \(a=\frac{3\pi}{2},b=\pi\)

B. \(a=\sqrt{3},b=5\sqrt{3}\)

C. \(a=3\sqrt{2},b=2\sqrt{3}\)

D. \(a,b \in\mathbb{R}\)

E. \(f(x)\) is not periodic if \(a,b \notin\mathbb{Q}\)

Note: \(\mathbb{R}\) is the set of Real Numbers and \(\mathbb{Q}\) is the set of Rational Numbers.

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