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Mathematics 19 Online
OpenStudy (anonymous):

cot11PI/3

OpenStudy (compassionate):

Hi, My name is Stephen. How are you, emms? Could you elaborate on your question, please. Thank you.

OpenStudy (anonymous):

its a homework question is says Find the value of cot 11 pi / 3 . ( answer to 3 demical places ) cot as in cos sin tan csc etc. can you help ?

OpenStudy (anonymous):

First convert it into degrees, then find the angle it's equal to which is from 0 to 360 degrees.

OpenStudy (anonymous):

ok, thanks

OpenStudy (anonymous):

If you don't know the unit circle, that helps a lot

OpenStudy (compassionate):

cot11PI/3 cot(11) = pi/3 <-- correct?

OpenStudy (anonymous):

cot(11pi/3)?

OpenStudy (anonymous):

yes

Parth (parthkohli):

Convert to a standard form. You could do this by subtracting \(2\pi\) again and again.

OpenStudy (anonymous):

thanks i got my answer

OpenStudy (anonymous):

You treat pi as 180 degrees, so 11pi/3 = (11*180)/3

OpenStudy (anonymous):

*Or do the standard form thing :P

Parth (parthkohli):

Kinda stops at \(5\pi/3\). Which is \(2 \pi - \pi/3 \).

Parth (parthkohli):

OS seems to have broken itself. :(

Parth (parthkohli):

Anyway, this thing is equal to\[\dfrac{\cos(2\pi-\pi/3 )}{\sin(2\pi-\pi/3)}\]

Parth (parthkohli):

\[\cos(2\pi - x) = \cos(x)\]\[\sin(2\pi - x) = -\sin(x)\]

Parth (parthkohli):

So... that'd be enough.

OpenStudy (anonymous):

All emms is asking is the cot(300 degrees), I would think?

Parth (parthkohli):

Yes. Which is equal to \(\cot(360 - 60)\).

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