Angle \(\theta\), measured in radians, satisfies \(\cos(\theta) = 0\). What could the value of \(\theta\) be? Select all that apply.

Which statements are true for both functions \(y = \cos(\theta)\) and \(y = \sin(\theta)\)? Select all that apply.

Here is a graph of a function \(f\).

A graph. Horizontal axis, theta, scale 0 to 2 pi by pi over 8. Vertical axis, y, negative 1 to 1. There are 3 tick marks between negative 1 and 0 on the vertical axis. There are 3 tick marks between 0 and 1 on the vertical axis. The curve passes through the points 0 comma 1, pi over 4 comma 0, pi over 2 comma negative 1, 3 pi over 4 comma 0, pi comma 1, 5 pi over 4 comma 0, 3 pi over 2 comma negative 1, and 7 pi over 4 comma 0.

The function \(f\) is either defined by \(f(\theta) = \cos^2(\theta) + \sin^2(\theta)\) or \(f(\theta) = \cos^2(\theta) - \sin^2(\theta)\). Which definition is correct? Explain how you know.

The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select all that apply.

Here is a graph of the water level height, \(h\), in feet, relative to a fixed mark, measured at a beach over several days, \(d\).

1. Explain why the water level is a function of time.
2. Describe how the water level varies each day.
3. What does it mean in this context for the water level to be a periodic function of time?