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Mathematics 8 Online
OpenStudy (anonymous):

@callisto

OpenStudy (anonymous):

I have to review the content first for like 10 minutes, but I will show you the assignment in advance.

OpenStudy (anonymous):

@callisto, tangents

OpenStudy (callisto):

Okay!~

OpenStudy (anonymous):

When I graph tan of (x), do I input sin(x) / cos(x)?

OpenStudy (callisto):

you can... but can't you just put y=tan(x)?!

OpenStudy (anonymous):

I get error, Im using my T1 83

OpenStudy (anonymous):

Even when i input sinx/cosx, I get error:(

OpenStudy (callisto):

Wait. Let me scan you something

OpenStudy (callisto):

This may help you a bit

OpenStudy (anonymous):

Wow. That is really useful:) Thank you

OpenStudy (callisto):

That's a page of my book. Hope it helps

OpenStudy (callisto):

But only serve for revision. Not exactly the same for your question.

OpenStudy (anonymous):

i know:) Thank you

OpenStudy (anonymous):

So this one is basically the same as the previous assignment, but it is tan instead of sin and cos

OpenStudy (callisto):

I bet you should input y=tan(x)

OpenStudy (anonymous):

Its strange in my computer I can, but in my caluclator, it wont work.

OpenStudy (anonymous):

I tried mode radian, mode degrees, nothing works. It says invalid dimension

OpenStudy (callisto):

In calculator?

OpenStudy (anonymous):

Yeah, my t1-83+

OpenStudy (callisto):

Sorry, don't know about that :(

OpenStudy (callisto):

you need to know what for 90, 270 ... tanx = undefined

OpenStudy (callisto):

For tangent, its period is 180 So tan(x+180) = tanx understand this?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

I just read it right now:)

OpenStudy (callisto):

Similarly, tan(3x+180) = tan (3x) , understand?

OpenStudy (anonymous):

yes

OpenStudy (callisto):

Just now, I've mentioned that tan90 = undefined so solve tan90 = tan3x the angle at x would be the one with give undefined value for tan ratio

OpenStudy (anonymous):

Oh ok

OpenStudy (callisto):

Do you really understand this point?

OpenStudy (anonymous):

yes, Im also reading about it now and completing a self-exercise chart

OpenStudy (callisto):

Oh.. are you doing 2 things at the same time?

OpenStudy (anonymous):

Basically, In order to complete the chart, I have to read:)

OpenStudy (anonymous):

Technically, im doing 3 things simultaneously, Im also typin in OS:)

OpenStudy (callisto):

Perhaps you can do the reading first :)

OpenStudy (anonymous):

The design of my course is a bit odd. They place explanations along exercises, not before them

OpenStudy (anonymous):

Not in the entire course, but in some sections

OpenStudy (anonymous):

Idk why they designed the course in such manner

OpenStudy (anonymous):

Ok, Im just going to write a little quiz for 5 minutes and then we can start with this:) Btw, i want to know something. Is this interrupting the preparation for your Math exam tomorrow?

OpenStudy (callisto):

o.o ...... -no comment- :P Go!!! take the test and get full marks!!!

OpenStudy (anonymous):

If this is in any way interrupting your preparations, I do not want to place a burden on you

OpenStudy (anonymous):

lol. They dont mark the test (Otherwise Id take my time and not finish it in 5 minutes:)), Its just a review quiz

OpenStudy (callisto):

I'm revising while teaching, so don't worry. If I don't want to teach, then ... I'll tell you :)

OpenStudy (anonymous):

ok. Thank you:) I really appreciate you doing this:). If during any time, you need to do your own stuff, just let me know so that I can leave you alone:)

OpenStudy (callisto):

Tell me if you've finished the quiz

OpenStudy (anonymous):

Ok. Im almost donw

OpenStudy (callisto):

:)

OpenStudy (anonymous):

Ok. Im finished:)

OpenStudy (anonymous):

Got 78% :(

OpenStudy (callisto):

o.o Get a better result next time :) You can do it!

OpenStudy (anonymous):

I know,Im trying:)

OpenStudy (anonymous):

Ok. Il try to solve Q1

OpenStudy (callisto):

Vertical asymptotes are x= when (tanx) is undefined

OpenStudy (anonymous):

nvm. Lol i got confused

OpenStudy (anonymous):

To solve for VA, I need to consider tanx = sinx/cosx and then set cosx = 0 and solve for x no?

OpenStudy (callisto):

I don't suggest you to do so. That would be complicated

OpenStudy (callisto):

you know tan90 = undefined. so in normal case, x=90 is the VA

OpenStudy (anonymous):

so is the VA always teh same as the angle?

OpenStudy (anonymous):

Because the VA of -270 is x = -270 right?

OpenStudy (callisto):

Not really. In your case, the equation is y=-2tan(3x+180)+3 That would be the same as y=-2tan(3x)+3 as the period of tan is 180degrees Consider tan(3x), when tan3x=tan90 , there would be an VA So, solve it and you'll get when x=30, there is an VA Since the period of tan is 180, when x=180 +30 , there would be another VA. and so on.

OpenStudy (anonymous):

Ohhh. Okok

OpenStudy (callisto):

Sorry, I have to go now. I'll come back and check as soon as possible!!

OpenStudy (anonymous):

Oh sure. Thank you

OpenStudy (callisto):

You're welcome :)

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