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Mathematics 18 Online
OpenStudy (anonymous):

Does anyone have any trig study tips for memorization?

OpenStudy (anonymous):

http://www.youtube.com/watch?v=I4mcja8abDc

OpenStudy (anonymous):

no

OpenStudy (anonymous):

What exactly are you trying to memorize? Additionally what math are you in?

OpenStudy (anonymous):

@snackerman, you there?

OpenStudy (anonymous):

Yep! I'm in trig with algebra... I'm trying to memorize the parent functions and their graphs at the moment but, looking for any tips that can help with trig!

OpenStudy (anonymous):

i think u shouldn't memorize in trig. trig is only a little about memorization. u only need this memorized to do well in trig:

OpenStudy (anonymous):

Thanks! I think it's the equations that get me... My prof doesn't allow calculators and I have a terrible memory.

OpenStudy (anonymous):

ur welcome.

OpenStudy (anonymous):

did u memorize the values in that pdf?

OpenStudy (anonymous):

How do they find all those values.....

OpenStudy (anonymous):

its simple

OpenStudy (anonymous):

That's a lie

OpenStudy (anonymous):

Well, let me not get ahead of myself, how do you do it then?

OpenStudy (anonymous):

u only find it difficult cuz trig is difficult for u

OpenStudy (anonymous):

How'd you come to that conclusion

OpenStudy (anonymous):

And how would you go about getting those values then?

OpenStudy (anonymous):

they took a unit circle and used a computer to find da x-coordinates of each angle

OpenStudy (anonymous):

So you couldn't do it by hand?

OpenStudy (anonymous):

its not impossible but its rly hard

OpenStudy (anonymous):

i have dem all memorized doe

OpenStudy (anonymous):

Well that was my question lol, you made it seem like you could do it by hand

OpenStudy (anonymous):

i can but its long

OpenStudy (anonymous):

Why would it be relevant to memorize all those values?

OpenStudy (anonymous):

to becum a trig expert (like me) u need to memorize all those values but bcause ur a newbie u need not knoe all dose values

OpenStudy (anonymous):

Here, I'll explain the derivation of \(\sin(18^{\circ})\). Let \(18^{\circ} = \theta\). Then \(2\theta = 90 - 3\theta\). Then \(\sin(2\theta) = \sin(90 - 3\theta) = \cos(3\theta)\). Using identities \(\sin(2\theta) = 2\sin\theta \cos\theta \) and \(\cos(3\theta) = 4\cos^3 \theta - 3\cos\theta\), we have\[2\sin\theta \cos\theta = 4\cos^3 \theta - 3\cos\theta\]\[\Rightarrow 2\sin\theta = 4\cos^2 \theta - 3\]\[\Rightarrow 2\sin\theta = 4 - 4\sin^2 \theta - 3\]Simple quadratic formula stuff now.

OpenStudy (anonymous):

Isn't it 4-8sin^2(theta) since cos^2(theta)=1-2sin^2(theta) and the 4 in front distribute

OpenStudy (anonymous):

Are you sure? Because it is a well-known fact that\[\sin^2\theta + \cos^2 \theta = 1\]

OpenStudy (anonymous):

Oh, nvm, thats cos(2theta)

OpenStudy (anonymous):

OK I got \[\Large \frac{ 2\pm \sqrt{20} }{ -8 }\] Now what?

OpenStudy (anonymous):

simplify that and take tha answer thats positive cuz sin is positive in tha 1st quadrant ♥

OpenStudy (anonymous):

I thought you were lying, lol

OpenStudy (anonymous):

im not im tha trig expert in tha ghetto

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