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OpenStudy (anonymous):
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THis diagram is a proof without words
These equations can be derived from the diagram then be used to solve law of cosines
\[(2a \cos x-b)b=(a-c)(a+c)\]
OpenStudy (anonymous):
Sorry
OpenStudy (anonymous):
I dont need help on the math only how you derive the equation from it
OpenStudy (anonymous):
You're ahead of me. Matter-of-fact, do you think you can help me?
OpenStudy (anonymous):
Sure, what can I do for ya?
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OpenStudy (anonymous):
What are the sine, cosine, and tangent of Θ = 7 pi over 4 radians?
OpenStudy (anonymous):
Ive been stuck on that for like a week....
OpenStudy (anonymous):
Well let's draw that, on a unit circle
OpenStudy (anonymous):
How many radians are there in a full circle?
OpenStudy (anonymous):
Hmm, 2?
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OpenStudy (anonymous):
Just 2?
OpenStudy (anonymous):
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Wair, i think theres six?
OpenStudy (anonymous):
wait*
OpenStudy (anonymous):
Mm try again, it kinda, 2 is the right number, what you're missing is the most circle related thing ever
OpenStudy (anonymous):
Take out it kinda, don't know why i typed that
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OpenStudy (anonymous):
2pi
OpenStudy (anonymous):
LOL
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
Okay
OpenStudy (anonymous):
So if it is 7pi/4 radians it's asking for how much of 2 pi is that
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OpenStudy (anonymous):
Do I convert 7pi/4 into degrees, then work from there?
OpenStudy (anonymous):
You don't have to, if you feel more comfortable with degrees, you could, but it's way easier with radians in my opinion
OpenStudy (anonymous):
Okay, I'm just confused on what to do. Step by step, how would I determine?
OpenStudy (anonymous):
This is the hardest lesson ever! :(
OpenStudy (anonymous):
Ok, completely forget about the pi, just think of 2 as 1 time around the circle, how much around the circle is 7/4, then
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OpenStudy (anonymous):
It's fine you'll get it :) it was a bit confusing for me too
OpenStudy (anonymous):
1 and 3/4
OpenStudy (anonymous):
Basically what you're telling me is that it goes around 1 and 3/4 of the circle like this?
|dw:1453345911363:dw|
OpenStudy (anonymous):
Do you understand why? because there is a total of 2?
OpenStudy (anonymous):
So, if 2 is 360. Then 1 is 180, correct?
Then, if I simplify 7/4 it turns into 1 and 3/4.
Three fourths of a circle is 270 degrees.
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OpenStudy (anonymous):
1 and 3/4= x
1=180
3/4= 270
=450?
OpenStudy (anonymous):
Umm no,... but hold on,
If you use 7/4, 1/4 is left right?, just follow
OpenStudy (anonymous):
Let's add the pi back in
OpenStudy (anonymous):
|dw:1453346624166:dw|
OpenStudy (anonymous):
Thats the angle right?
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OpenStudy (anonymous):
Does 1/4 *pi or simpliefied, pi/4 ring a bell when you convert it to degrees?
OpenStudy (anonymous):
Yes, I believe so.
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
So what is it in degrees?
OpenStudy (anonymous):
1/4 in degrees?
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OpenStudy (anonymous):
well not 1/4, it's pi/4
OpenStudy (anonymous):
Want me to tell you the answer?
OpenStudy (anonymous):
I think it's like 14.3 ish?
OpenStudy (anonymous):
Umm, no, it's 45 degrees
OpenStudy (anonymous):
Do 45-45-90 triangles ring a bell?
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OpenStudy (anonymous):
Yes. Thats in the first part of my chapter
OpenStudy (anonymous):
So do you know the patterns in a 45-45-90?
OpenStudy (anonymous):
Just in case here is a refresher
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