# Thread: Graphs Of Trigonometric Functions :confused: .

1)At a certain point in the ocean , the veritcal displacement of the water due to wave action is given by y= 3sin[pi/6(t-5)],where y is measured in meters and t is in seconds.
(a)Determine the amplitude ,period, and phase shift for the graph of this wave action.
(b)Sketch one complete cycle of this function.

2)In an ac circuit with only a constant inductance, the voltage is given by
v=12sin(120pi(t)+0.5pi)
a)Determine the amplitude ,period, and vertical displacement of this function
b)Sketch the graph of this function for one period.Make sure that you label the times on the x-axis where the graph crosses the axis and where it is at its highest and lowest points

2. Originally Posted by cheesepie
1)At a certain point in the ocean , the veritcal displacement of the water due to wave action is given by y= 3sin[pi/6(t-5)],where y is measured in meters and t is in seconds.
(a)Determine the amplitude ,period, and phase shift for the graph of this wave action.
(b)Sketch one complete cycle of this function.
For a "signal" $\displaystyle y(t)=A\sin( \omega t + \phi)$, the amplitude is
$\displaystyle A$, the period is $\displaystyle 2 \pi/ \omega$, and the initial phase is $\displaystyle \phi$.

In this case we have:

$\displaystyle y(t)= 3 \sin[\frac{\pi}{6}(t-5)]=3 \sin[\frac{\pi}{6} t -\frac{5\pi}{6}]$,

so the amplitude is $\displaystyle 3$, the period is $\displaystyle (2 \pi)/(\pi/6)=12$,
and the initial phase is $\displaystyle -5 \pi/6$.

RonL

3. Originally Posted by cheesepie

2)In an ac circuit with only a constant inductance, the voltage is given by
v=12sin(120pi(t)+0.5pi)
a)Determine the amplitude ,period, and vertical displacement of this function
b)Sketch the graph of this function for one period.Make sure that you label the times on the x-axis where the graph crosses the axis and where it is at its highest and lowest points
There is no vertical displacement (it would be an additive constant outside
the sin.

Otherwise this is similar to the previous problem

RonL

4. any step ?

2)In an ac circuit with only a constant inductance, the voltage is given by
v=12sin(120pi(t)+0.5pi)
a)Determine the amplitude ,period, and vertical displacement of this function
b)Sketch the graph of this function for one period.Make sure that you label the times on the x-axis where the graph crosses the axis and where it is at its highest and lowest points

5. Please refrain from "bumping" posts. I understand on other forums this is quite common, but there is no need here. All of the moderators and others who help out will look for new posts. Thank you.