Use the drawing tools to form the correct answer on the graph.
Every day the ocean has two low tides and two high tides. Function g represents the height, in feet, of the water level in a cove relative to the average sea level. Let t represent the number of hours elapsed since the water height was equal to the average sea level after a low tide.
g(t)\:=\:4\sin\left ( \frac{\pi}{6}t \right )
Plot the points where g(t) is equal to the average sea level.
To find the points where g(t) is equal to the average sea level (which is 0), we can set the equation equal to 0 and solve for t:
0 = 4sin(π/6t)
To solve for t, we can take the inverse sine (or arcsine) of both sides:
sin^(-1)(0) = sin^(-1)(4sin(π/6t))
Since sin^(-1)(0) = 0 (in the interval [0, 2π]), we have:
0 = π/6t
To isolate t, we can multiply both sides by 6/π:
0 = t
Therefore, the points where g(t) is equal to the average sea level are when t = 0.