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Mathematics 7 Online
OpenStudy (anonymous):

One simple question: y =1/4 cos ((2pi)/3) theta How do I find the period and amplitude of this equation?

OpenStudy (anonymous):

Well this seems to just confuse me more... how would you determine the amplitude and period from this circle?

sam (.sam.):

Is your question correct

sam (.sam.):

\[y=\frac{1}{4}\cos \left(\frac{2\pi }{3}\right)\]?

OpenStudy (anonymous):

Yes, that is my question.

sam (.sam.):

I think you missed an x or something

sam (.sam.):

\[y=\frac{1}{4}\cos \left(\frac{2\pi }{3}-\theta\right) \]?

OpenStudy (anonymous):

No, that is exactly as it appears, although the subtract sign before the theta was not there.

sam (.sam.):

You get a straight line for that

OpenStudy (anonymous):

Hmm, that's what I got at first as well. That is why I came here for help.

sam (.sam.):

I'm sure there is a variable inside it, I think its \[y=\frac{1}{4}\cos \left(\frac{2\pi }{3}x\right)\]

sam (.sam.):

We got a nice cosine graph after that

OpenStudy (anonymous):

I'm guessing that theta sign, can be a stand-in for a variable, because otherwise this problem doesn't seem to make sense. Thanks for this graph.

sam (.sam.):

Amplitude will be 1/4, and period is \[T=\frac{2\pi}{B}\] --------------------- \[B=\frac{2\pi}{3}\] Then period is \[T=3\]

OpenStudy (anonymous):

Thanks very much for your help!

sam (.sam.):

welcome :)

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