babydoll332
Find the exact value of cot-1(1). please step by step :)
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Brittni0605
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what is cot using sin and cos?
babydoll332
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wait wat? explain... please
Brittni0605
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Do you know what cot means?
babydoll332
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cotangent
Brittni0605
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Yes, but what is cotangent?
babydoll332
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sin/tan
babydoll332
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cos/sin
Brittni0605
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Its cos/sin
Brittni0605
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babydoll332
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idk wat to do next...
Brittni0605
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babydoll332
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pi
Brittni0605
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No.
Brittni0605
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babydoll332
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pi/2
Brittni0605
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No, what is cos in general?
zordoloom
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Do you still need help with this?
babydoll332
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yess
Brittni0605
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cos is x
sin is y
babydoll332
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wow ok im sorry u have to do the basic with me
Brittni0605
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babydoll332
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ok
babydoll332
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i understood that
Brittni0605
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OK, good.
zordoloom
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Allright, So you are given cot^-1(1)
The cot^(-1) means to find the angle where cot is 1
Cot is also (cos/sin)
So if you look at the unit circle, where does cos equal 1?
So cos is 2pi at 1
and sine is pi/2 at 1
If you put 2pi/pi/2 you get pi/4
So cos^-1(1) is pi/4
Brittni0605
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You can follow @zordoloom, but im not sure what he's doing. So your choice.
babydoll332
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how would i get 2pi/pi=4pi
Brittni0605
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It doesnt equal 4pi. That would equal 2
babydoll332
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If you put 2pi/pi/2 you get pi/4
Brittni0605
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No, you get 1.
babydoll332
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and where do i find 1 on the unit circle
Brittni0605
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babydoll332
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i know its 45degree but idk how?
Brittni0605
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gimme a sec
babydoll332
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like idk how how cos 1 = pi/4 i get how to get it but not how u get thru the unit circle
Brittni0605
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what are the coordinates of pi/4 on the unit circle?
babydoll332
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no how he got this
babydoll332
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So if you look at the unit circle, where does cos equal 1?
So cos is 2pi at 1
and sine is pi/2 at 1
Brittni0605
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cos equals one at 0 and 2pi
babydoll332
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then somehow he got 4/p
Brittni0605
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dont write anything, just read what i write
babydoll332
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okkkk
Brittni0605
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babydoll332
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sin=1 at pi/2
Brittni0605
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Shhh..dont write.
Brittni0605
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Brittni0605
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Brittni0605
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babydoll332
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ohhhhh
babydoll332
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ok i get it
Brittni0605
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Ok, r u sure?
babydoll332
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god ur amazing i would have been here for a few hours
babydoll332
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yes i ddint multiply them
Brittni0605
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thanks, do you want me to give another example..so u can see if u get it right?
babydoll332
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um ya an easy 1 please
Brittni0605
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OK, gimme a sec
Brittni0605
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\[ \cot^{-1} (-1)=?\]
babydoll332
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pi
Brittni0605
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No.
babydoll332
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3pi/4
Brittni0605
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Yes!
babydoll332
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question is cot always on the 3rd quadrant?
Brittni0605
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No, the original question you asked, the answer was pi/4 (thats in the 1st quadrant)
babydoll332
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but thats for cos
babydoll332
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not cot
babydoll332
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cos=1st
cot=3rd
Brittni0605
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No, all quadrants apply for any trig identity.
babydoll332
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oh i know but for those mostly
Brittni0605
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The answer is still no.
babydoll332
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ok thanks :)
Brittni0605
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Np.