I am completely lost on the entire subject of trigonometric functions. I missed majority of class when we discussed it first, and I have no idea what I'm doing when it comes to inverses and domains... Help?
...awaiting a question needing assistance.
best to read about it in a text or ask a specific question here. here is a decent cheat sheet that might help
Can you explain how to determine the period of a function?
it is hard (impossible) to write a complete explanation here. try a problem, and then if you are stuck ask a specific question.
Period = time of complete cycle
if you have a graph you can see the period from the graph the period of sine and cosine is \(2\pi\) for tangent it is \(\pi\) and if you have \[\sin(bx)\] it is \(\frac{2\pi}{b}\)
the function would need to be a repeating one, like a waveform
Okay, so a period is similar to a wavelength?
Not per se, Sine wave goes above zero, then below, then reaches zero again from start to finish, that is the period
wavelength is sort of different
Oh, okay, that's very helpful. Also, how do you determine what the domain will be?
generally, a repeating wave is measured from +peak to +peak
here is a graph of \(\sin(2x)\) you can see that the period is \(\pi\) http://www.wolframalpha.com/input/?i=sin%282x%29
Well, anyway, thank you all. You're all very helpful :-)
You're welcome!
Here is an old note from my calc highschool class that explains the parts of a trig function so you can graph it. Don't know if it helpful but yeah
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