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Mathematics 22 Online
OpenStudy (coexist2):

Geometry help please ... due 2 weeks ago. *picture attached to question.*

OpenStudy (coexist2):

OpenStudy (turingtest):

How did you get your answer to #4 ?

OpenStudy (coexist2):

idk the tutor wasnt very good i just put what she said...

OpenStudy (coexist2):

@TuringTest

OpenStudy (turingtest):

well you can simply use the inverse cosine function\[\cos(\theta)=x\iff\theta=\cos^{-1}x\]I assume you have this function on your calculator?

OpenStudy (coexist2):

yeah

OpenStudy (turingtest):

ok, and what do you get?

OpenStudy (coexist2):

what is the zero supposed to be?

OpenStudy (coexist2):

@TuringTest

OpenStudy (turingtest):

zero? you mean theta \(\theta\) ? that's a greek letter that we use to represent the angle

OpenStudy (coexist2):

so what am i supposed to put in my calculator

OpenStudy (turingtest):

well what is x in your case? what is theta in your case?

OpenStudy (coexist2):

what number are u looking at?

OpenStudy (coexist2):

@TuringTest what number r u on from the picture?

OpenStudy (turingtest):

#4

OpenStudy (coexist2):

is 4 wrong? @TuringTest

OpenStudy (mrhoola):

yes , #4 is wrong.

OpenStudy (coexist2):

so how do I solve 4?

OpenStudy (mrhoola):

Turing already told you how , just go back and read what he wrote

OpenStudy (coexist2):

So it's Cos (2*25)= ??? im getting weird decimals

OpenStudy (turingtest):

why did you put 2*25 as an argument for cosine? How does that relate to what I told you?

OpenStudy (coexist2):

I never fully understood ^^?

OpenStudy (turingtest):

exactly where did I lose you?

OpenStudy (coexist2):

I'm not dumb I just need to know the layout and steps so I can plug in numbers and learn it.

OpenStudy (turingtest):

Nobody said you were dumb, I just need to know where you got confused so I can help you.

OpenStudy (coexist2):

well you can simply use the inverse cosine function cos(θ)=x⟺θ=cos−1x I assume you have this function on your calculator? this is where i got lost.

OpenStudy (mrhoola):

Cosine is a function that outputs a value between -1 and 1 for any angle - > cos(theta) the symbol Theta , represents angle , measured in degrees . example : cos(45) = sqrt(2)/2 = 0.7071

OpenStudy (mrhoola):

oh yes . sorry

OpenStudy (turingtest):

nevermind I was wrong lol

OpenStudy (mrhoola):

I was relectant to disagree , loooked over and yes . I am correct .

OpenStudy (coexist2):

what is going on exactly?

OpenStudy (turingtest):

yeah sorry @Mrhoola I'm a bit tired :P anyway, cosine is a function that takes an angle and outputs a number between -1 and 1 so \(\cos\theta=x\) means if I put \(\theta\) in the function I get \(x\) in #4, what is your \(theta\) and what is your \(x\) ?

OpenStudy (turingtest):

what is your \(\theta\) *

OpenStudy (turingtest):

here is what you have:\[\cos\theta=\frac2{25}\]here is the formula I am telling you:\[\cos\theta=x\]so what is your \(\ x\) ?

OpenStudy (coexist2):

so 2/25 is 0 or x or 2/25 is cos?

myininaya (myininaya):

\[\text{ what number can you replace } x \text{ with so that } \\ \cos(\theta)=x \text{ reads the same as } \cos(\theta)=\frac{2}{25}\]

OpenStudy (coexist2):

1?

OpenStudy (coexist2):

i dont see a theata or 0 thing on my calcutalor

OpenStudy (turingtest):

replacing x with 1, that would result in \[\cos\theta=1\]we want \[\cos\theta=\frac2{25}\]

OpenStudy (coexist2):

so 2/25?

OpenStudy (turingtest):

you don't need a symbol for theta because that is what we are trying to find, don't worry about htat yes, x=2/25 now back to what I said earlier...

OpenStudy (turingtest):

\[\cos\theta=x\iff\theta=\cos^{-1}x\]and you should have the function \(\cos^{-1}\) on your calculator (it may be called \(\arccos\))

OpenStudy (turingtest):

do you have that function on your calculator?

OpenStudy (coexist2):

cos -1 (2/25) = 85.41

OpenStudy (coexist2):

D.

OpenStudy (coexist2):

So how do I start #5?

OpenStudy (mrhoola):

do you see a button that says cos^ -1

OpenStudy (turingtest):

good, D is correct

OpenStudy (turingtest):

for number 5 you should start a new thread. we only allow one question per thread

OpenStudy (coexist2):

okay

OpenStudy (turingtest):

I hope I helped you understand how to solve these problems. Please don't forget to rate me as a QH :)

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