Modeling with Trigonometric Functions · Exercise 6

Find a possible formula for the trigonometric function represented by the given table of values.

$$\begin{array}{cc}x& y\\ 0& 5\\ 2& 1\\ 4& -3\\ 6& 1\\ 8& 5\\ 10& 1\\ 12& -3\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 6