Question

the water depth in a harber is 21m at hight tide, and 11m at low tide. One cycle is completed approximatly every 12h.

a) find an equation for the water depth as a function of the time, t hours, after low tide

Answer 1

i found the amplitude and the period of the equation


y=asink(x-c)+d

Amplitude
a=21-11/2
a=5

K

p=2pi/k
12=2pi/k
k=2pi/12
k=pi/6

what about the c and the d??

Answer 2

@lgbasallote @satellite73 @dpaInc help? :S

Answer 3

the answer at the back of the book says y=5sin pi/6 (t-3)+16