## kenneyfamily Group Title write an equation of a sine function with amplitude 3, period 3pi/2 and phase shift pi/4 one year ago one year ago

1. kenneyfamily Group Title

is it y=3sin(3x/2-pi/4)?

2. AERONIK Group Title

3sin((4/3)t+(pi/4))

3. kenneyfamily Group Title

4. AERONIK Group Title

general equation of a simple harmonic oscillator is Asin(wt). where A is the amplitude and w is the angular frequency.. amd 2pi/w is the time period...

5. AERONIK Group Title

the equation you are giving should be a function of time and not distance... and by adding a minus sign you are just changing its phase by pi.

6. kenneyfamily Group Title

7. kenneyfamily Group Title

a. y = -3 sin (3x/2 - 3π/8) b. y = 3 sin (4x/3 - π/3) c. y = -3 sin (4x/3 - π/4) d. y = 3 sin (3x/2 - π/4)

8. kenneyfamily Group Title

those are my choices @AERONIK

9. AERONIK Group Title

you got me wrong friend, your choices are definitely correct....

10. kenneyfamily Group Title

wait i'm confused

11. zepdrix Group Title

$\huge y=a \sin(bx-c)+d$$a=amplitude$$\frac{2\pi}{b}=period$$c=phase \; shift$

12. zepdrix Group Title

Let's figure out our b term. $\large \frac{2\pi}{b}=\frac{3\pi}{2}$$\large b=\frac{4}{3}$ I hope I calculated that correctly hehe

13. zepdrix Group Title

$\large y=3\sin\left(\frac{4}{3}x-\frac{\pi}{4}\right)$

14. zepdrix Group Title

Mmmmm I'm not sure if I did that correctly, was I suppose to factor the 4/3 into the pi/4? I forget...

15. kenneyfamily Group Title

thats not an option :(

16. zepdrix Group Title

Hmm

17. kenneyfamily Group Title

wait yes i think so

18. zepdrix Group Title

Yah I think the b is suppose to be like this... $\huge y=a \sin (b(x-c))+d$

19. zepdrix Group Title

Which IS one of your options, if you distribute the 4/3 to the pi/4 term.

20. zepdrix Group Title