MHB Basic trig question - finding the period of a sinusoid

  • Thread starter Thread starter DeusAbscondus
  • Start date Start date
  • Tags Tags
    Period Trig
DeusAbscondus
Messages
176
Reaction score
0
Would someone kindly take a look at my geogebra snapshot attached,
and tell me a more formal way of representing the formula for the period of a trig function of form:

f(x)=Acos(bx)$$
where A is amplitude and b is period

Thanks,
D'abs​
http://www.mathhelpboards.com/images/mhb/misc/paperclip.png Attached Thumbnailshttp://www.mathhelpboards.com/attachment.php?attachmentid=753&d=1366260749


PS: sorry about sloppy maths: been away for months and seem to have forgotten use of $$ to wrap around text to create latex;
 
Mathematics news on Phys.org
Re: basic trig question

I would say you are confusing period with angular velocity.

If given the sinusoid:

$$f(t)=A\cos(\omega t)$$

then the angular velocity is $\omega$ and the period $T$ is:

$$T=\frac{2\pi}{\omega}$$

since we may write:

$$f(t+T)=A\cos(\omega(t+T))=A\cos(\omega t+2\pi)=A\cos(\omega t)=f(t)$$
 
Re: basic trig question

MarkFL said:
I would say you are confusing period with angular velocity.

If given the sinusoid:

$$f(t)=A\cos(\omega t)$$

then the angular velocity is $\omega$ and the period $T$ is:

$$T=\frac{2\pi}{\omega}$$

since we may write:

$$f(t+T)=A\cos(\omega(t+T))=A\cos(\omega t+2\pi)=A\cos(\omega t)=f(t)$$

Thanks kindly Mark.
This clears up my query.
(I also just realized why my $$s aren't working: i have re-installed OS and have yet to re-install a Tex program)
 
Re: basic trig question

DeusAbscondus said:
Thanks kindly Mark.
This clears up my query.
(I also just realized why my \$\$s aren't working: i have re-installed OS and have yet to re-install a Tex program)

If you're referring to your original post then I believe you just forgot the opening pair of dollar signs. You wrote: f(x)=Acos(bx)\$\$ but you need to write \$\$f(x)=Acos(bx)\$\$ and it will output:

$$f(x)=Acos(bx)$$

Hope this helps! :)
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
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...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top