If we try to determine the fundamental period of the function:
\(4\cos(\pi t)\sin\left({\pi t \over 7}\right ) + 1\)
we have
\(\begin{align}
& T_1 = {2\pi \over \pi} = 2\\
& T_2 = 2\pi /\left ({\pi \over 7} \right) = 14\\
& \mathrm {lcm}(2,14) = 14
\end{align}\)
(Latex here doesn't work very fine).
But if we graph the function, the period is 7 (see attachment).
My professor says that the period is 14.
I am convinced that is 7.
What's wrong with me ?
\(4\cos(\pi t)\sin\left({\pi t \over 7}\right ) + 1\)
we have
\(\begin{align}
& T_1 = {2\pi \over \pi} = 2\\
& T_2 = 2\pi /\left ({\pi \over 7} \right) = 14\\
& \mathrm {lcm}(2,14) = 14
\end{align}\)
(Latex here doesn't work very fine).
But if we graph the function, the period is 7 (see attachment).
My professor says that the period is 14.
I am convinced that is 7.
What's wrong with me ?
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