1. The problem is to find the function and understand the behavior of $\sin x$. 2. The sine function is a fundamental trigonometric function defined as the ratio of the length of the side opposite an angle to the hypotenuse in a right triangle. 3. The formula for sine is $\sin x$, where $x$ is the angle in radians. 4. Important properties of $\sin x$ include: - It is periodic with period $2\pi$. - It oscillates between $-1$ and $1$. - It has zeros at integer multiples of $\pi$. 5. The function can be graphed as $y=\sin x$ showing these properties. Final answer: The function is $y=\sin x$ which oscillates between $-1$ and $1$ with period $2\pi$.