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Mathematics 15 Online
OpenStudy (anonymous):

...

OpenStudy (anonymous):

Didn't you ask this before?

OpenStudy (anonymous):

no its different question..

OpenStudy (campbell_st):

cot = 1/tan so find tan of your angle and then take the reciprocal e.g. \[\tan(\frac{\pi}{6}) = \frac{1}{\sqrt{3}}\] so \[\cot(\frac{\pi}{6}) = \frac{\sqrt{3}}{1}\]

OpenStudy (anonymous):

Or maybe it was cos(x). It's the same idea as your previous one. Plug in your data.

OpenStudy (anonymous):

thats what goes in the chart?

OpenStudy (anonymous):

Not exactly, because \(\Large \frac{\pi}{6}\) isn't one of the options. But he showed you how to do it.

OpenStudy (anonymous):

You would do the same calculation for each of your values.

OpenStudy (anonymous):

can you just do it for me so i can see?

OpenStudy (anonymous):

@campbell_st showed you exactly what to do. Just replace \(\large \frac{\pi}{6}\) with each of the values you need to find.

OpenStudy (anonymous):

So you'll start by finding tan of \(- \pi\), and finding the inverse (1 over your answer). That will be your result for the first box.

OpenStudy (anonymous):

cot(-π)

OpenStudy (anonymous):

? @geoffb

OpenStudy (anonymous):

Yes, exactly. And, as campbell said, \(\cot(-\pi)\) is just \(\large \frac{1}{\tan (- \pi)}\), which you can solve on a calculator easily.

OpenStudy (anonymous):

I dont seem to be getting the answer! @geoffb

OpenStudy (anonymous):

What is \(\tan (- \pi)\)?

OpenStudy (anonymous):

i got 0

OpenStudy (anonymous):

Good. And what is the inverse of that (1/0)?

OpenStudy (anonymous):

are you asking me if it is (1/0)??

OpenStudy (anonymous):

Sorry, I mean what is \(\frac{1}{0}\)?

OpenStudy (anonymous):

What is one divided by zero? What does it equal?

OpenStudy (anonymous):

when i plug it in my calculator it says "error"

OpenStudy (anonymous):

A calculator will give you an error, or undefined. One divided by zero is infinity, so: \[\cot(- \pi) = \infty\]

OpenStudy (anonymous):

Now plug in each of your values from your chart, and solve just like you did for negative pi.

OpenStudy (anonymous):

ok so next is cot (-3pi/4)?

OpenStudy (anonymous):

Yes. Easier to solve if you do: \[\Large \frac{1}{\tan (\frac{-3 \pi}{4})}\]

OpenStudy (anonymous):

do you think you can set all of them up for me Please?

OpenStudy (anonymous):

It's already set up in the chart. Nothing changes for each one. It's just 1 over tan of whatever is given in the chart.

OpenStudy (anonymous):

do i simplfy it or evaluate it?

OpenStudy (anonymous):

It might be best left in a fraction, if that's what you get.

OpenStudy (anonymous):

so simplify?

OpenStudy (anonymous):

I don't think you should end up with any fractions or decimals. You should be getting answers like 0, 1, and infinity.

OpenStudy (anonymous):

I got 1

OpenStudy (anonymous):

..so how would i set up the next one

OpenStudy (anonymous):

@geoffb

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