Trigonometry Question

Question

After getting knocked off his boogie board, Randy watches it float up and down on the ocean waves. The board moves 9.6 feet from its low point to its high point, returning to its low point every seconds.

a) Write an equation that gives the board's vertical position y at time t if the board is at

its highest point when t = 0.

b) Explain why you chose a sine or cosine function for part a.

Can I also have an example problem similar to this for practice?

Answer 1

f(t)= (9.6/2)cosBt

= 4.8cosBt

where B=2pi/period

use cosine to avoid a phase shift