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Mathematics 19 Online
OpenStudy (anonymous):

Describe the vector using ordered pair notation.

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

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.

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

OpenStudy (anonymous):

http://www.twiddla.com/1514607

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

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

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

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

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?

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