Mathematics
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OpenStudy (anonymous):
Describe the vector using ordered pair notation.
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OpenStudy (anonymous):
|dw:1396431399981:dw|
OpenStudy (anonymous):
A.
<43, 46.1>
B.
<58.7, 67.6>
C.
<46.1, 43>
D.
<67.6, 58.7>
OpenStudy (anonymous):
@ParthKohli .. a question for you ;)
Parth (parthkohli):
Thank you.
(not gonna mess up like this now, lol)
|dw:1396431704050:dw|
OpenStudy (anonymous):
yes
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Parth (parthkohli):
All right, do you know what pair notation and vectors are?
OpenStudy (anonymous):
No
OpenStudy (anonymous):
are you seriously a 14 year old @ParthKohli ? :p
Parth (parthkohli):
Hmm, a vector is a concept independent of trig. But let me just tell you what pair notation is in this case.
OpenStudy (anonymous):
I have 10 days to get nearly a whole coarse done. I have to rush through it or they will fail me.
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Parth (parthkohli):
Do you see that right triangle there?
Parth (parthkohli):
I will not get into the details of vectors, but pair notation is basically this:
<horizontal side, vertical side>
Parth (parthkohli):
Can you figure out the horizontal side using trig?
OpenStudy (anonymous):
tan, sin that stuff?
OpenStudy (anonymous):
inverse
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Parth (parthkohli):
Yes, tan and sin and stuff. So do you see that\[\cos(43^{\circ}) = \dfrac{\rm horizontal~side}{63}\]
OpenStudy (anonymous):
this is the formula?
Parth (parthkohli):
hmm, you know what the definition of cos is?
OpenStudy (anonymous):
cosine
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Parth (parthkohli):
hmm, but what is cosine in a right triangle?
heard of SOH CAH TOA?
OpenStudy (anonymous):
cos = adjacent side upon hypotenuse..!
Parth (parthkohli):
exactly, and the adjacent side here is the horizontal side which we want to find for the pair notation.
Parth (parthkohli):
So what is the value of cos(43 degrees)?
OpenStudy (anonymous):
my computer died
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Parth (parthkohli):
RIP in peace
OpenStudy (anonymous):
I plugged it in, it is alive once more.
OpenStudy (anonymous):
cos(45)=0.555
OpenStudy (anonymous):
no cos(45deg)=0.731
OpenStudy (anonymous):
I mean 43
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OpenStudy (anonymous):
cos43 degree = 0.731
OpenStudy (anonymous):
anyone there?
OpenStudy (anonymous):
@ParthKohli
Parth (parthkohli):
oh, yes.
0.731 = horizontal side/63
0.731 * 63 = horizontal side
OpenStudy (anonymous):
0.731*63=46.06
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Parth (parthkohli):
Yes.
Also, sin(43) = opposite/hypotenuse
the opposite side is the vertical side which we're gonna use. and the hypotenuse is 63.
OpenStudy (anonymous):
okay?