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Mathematics 25 Online
OpenStudy (anonymous):

Please help question in comments

OpenStudy (anonymous):

|dw:1453344909148:dw| 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?

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?

OpenStudy (anonymous):

Just 2?

OpenStudy (anonymous):

|dw:1453345231394:dw| 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

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

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

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.

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?

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?

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?

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 |dw:1453347078592:dw|

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