# How good are your fundamentals?

**Geometry**Level 4

\[f(x)=\dfrac{\sin x+\sin 3x+\sin 5x+\sin 7x}{\cos x+\cos 3x+\cos 5x+\cos 7x}\]

What is the fundamental period of the function above?

\[f(x)=\dfrac{\sin x+\sin 3x+\sin 5x+\sin 7x}{\cos x+\cos 3x+\cos 5x+\cos 7x}\]

What is the fundamental period of the function above?

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