MHB 7.t.27 write eq for a sinusiol graph

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Graph
AI Thread Summary
To write the equation for a sinusoidal graph with an amplitude of -3, a period of 2π/3, and a phase shift of -π/4, the standard form is y = A sin(ωx - φ) or y = A cos(ωx - φ). The amplitude is |A|, which is 3, and the period T is given as 2π/ω, allowing for the calculation of ω as 3. The phase shift φ can be determined using φ/ω, leading to φ being -π/4. The final equation for the sinusoidal graph is y = -3 sin(3x + π/4). Understanding these parameters is crucial for accurately representing sinusoidal functions.
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
Write an equation for a sinusiol graph with the following
\quad $A=-3$ \quad period $=\dfrac{2\pi}{3}$ phase shift $=-\dfrac{\pi}{4}$
For the graphs of $y=A\sin(\omega x - \phi)$ or $y=A\cos(\omega x - \phi),\omega>0$
Amplitude $=|A|$ \quad Period $=T=\dfrac{2\pi}{\omega}$ \quad Phase shift $=\dfrac{\phi}{\omega}$
$y=-3\sin(\omega x - \phi)$

ok, I still get ? with these sinusol graphs
 
Mathematics news on Phys.org
You have the equations! Solve for [math]T = 2 \pi / 3[/math] so solve for [math]\omega[/math]. Then find [math]\phi[/math].

-Dan
 
topsquark said:
You have the equations! Solve for [math]T = 2 \pi / 3[/math] so solve for [math]\omega[/math]. Then find [math]\phi[/math].

-Dan

ok I think this is it ... typos maybe
$
Screenshot 2022-02-09 11.22.48 AM.png
 
Last edited:
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
2
Views
1K
Replies
7
Views
1K
Replies
5
Views
1K
Replies
5
Views
1K
Replies
5
Views
2K
Replies
1
Views
996
Replies
11
Views
2K
Back
Top