Question

The function f(t) = 7 cos(pi over 4t) + 12 represents the tide in Light Sea. It has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. The sea repeats this cycle every 8 hours. After two hours, how high is the tide?

Answer 1

The function f(t) = 7 cos(pi over 4t) + 12 represents the tide in Light Sea. It has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. The sea repeats this cycle every 8 hours

To find the height of the tide after 2 hours, we plug in 2 for t and find out f(2)

`f(t) = 7 cos((\pi)/(4))t+ 12`

`f(2) = 7 cos((\pi)/(4))*2+ 12`

`f(2) = 7 cos((\pi)/(2))+ 12`

We know that cos (pi/2) is 0

`f(2) = 7 (0)+ 12`

So f(2)= 12

After two hours, the height of the tide is 12 feet