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Mathematics 17 Online
OpenStudy (anonymous):

Find the m

OpenStudy (anonymous):

OpenStudy (anonymous):

@Psymon

OpenStudy (psymon):

So a law of cosines problem. Any idea on the formula for it?

OpenStudy (anonymous):

um this one no

OpenStudy (psymon):

Does the math you work with just not give yoiu any explanations and formulas or what?

OpenStudy (anonymous):

i explained this a while ago. i have to take tests without learning the lessons because im behind and dont have time

OpenStudy (psymon):

Ah. Sorry.

OpenStudy (psymon):

\[c ^{2} = a ^{2} + b ^{2} - 2ab(cosC)\] All the little letters are sides. So you just plug in all the sides and solve for C

OpenStudy (anonymous):

thats why you are like my hero man, if it wasnt for you, id be toast

OpenStudy (psymon):

:3 So if you can, plug in the numbers for the sides and eventually solve for cos(C).

OpenStudy (anonymous):

18.33

OpenStudy (anonymous):

18.33=10^2

OpenStudy (anonymous):

is that right? i dont know what to do from there

OpenStudy (psymon):

well, when I solved for cosT, I got cosT = .7818.

OpenStudy (anonymous):

so...?

OpenStudy (psymon):

\[7^{2}= 10^{2} + 11^{2} - 2(10)(11)(cosT)\] \[49 = 100 +121 - 220(cosT)\] Did you make it that far?

OpenStudy (anonymous):

i got 49=1(cosT)

OpenStudy (psymon):

Ah. Something went wrong then O.o

OpenStudy (anonymous):

i just did the adding and subtracting to get to that

OpenStudy (psymon):

\[49 = 100 + 121 - 220(cosT)\] \[49 = 221-220(cosT)\] \[49-221 = -220(cosT)\] \[-172 = -220(cosT)\] \[\frac{ -172 }{ -220 } = cosT\] \[.7818 = cosT\]

OpenStudy (anonymous):

so, how do i figure that? i have never encountered this before

OpenStudy (psymon):

Yeah, your error was you subtracted 220 when it is something that cannot be subtracted, it has to be divided. And this means you have to use the inverse cosine function. \[.7818 = cosT \] This means: \[\cos ^{-1}(.7818) = T\]

OpenStudy (anonymous):

my calculator wont calculate that

OpenStudy (anonymous):

i cant type that in

OpenStudy (psymon):

I see. The computer calculator should be able to do that. I know the built in simple one on mine can. You should probably see if you can figure out how to do it on the calculator on your computer. But for now, T = 38.6 degrees.

OpenStudy (anonymous):

im on a mac book pro. and i have a more basic calculator than the one google gives me

OpenStudy (psymon):

Ah. Yeah, I know nothing about macs, so maybe the calculator on that one wouldnt have it. But yeah, there may be something that can be googled that can help you calculate inverse trig values like that. But yeah, whenever you have sinx, cosx, tanx and you need to solve for x, then you need to be able to do the inverse functions.

OpenStudy (anonymous):

ok thats helpful. i need to find an invers trig calculator on the internet or something

OpenStudy (psymon):

Yeah. Inverse sine, inverse cosine, etc may also be called arcsine, arccosine, etc. So if need be you can search that, too.

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