# 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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