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@i-love-math
HI!!1!1!!
This is my (@avem88) side blog for um… math…… because I really like math and I post a little too much on my main accoutn
This blog will consist of probbaly just me saying math a bunch of times because I don’t know what else to do when I think about math
Thank you for coming to my ted talk🥹
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I got a math board game from a certain someone. YAY!!!!! It’s call Prime Climb. I played today at lunch and I think I made up everything on the spot. IT’S FUN THOUGH!!!!!!!!!!
Guys math is SO cool like how did those guys even figure that out????????????????like thank you for wasting your life on this six-part formula I love you
Who decided sinA/a=sinB/b=sinC/c?????LIKE HOW DO YOU EEVN
H???OW?????????????????
Ohmygay I love you math I love you forever and ever and ever and ever and ever and evr an dever ad EVRE.❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️hi guys
Hi does anyone want to like
Math with me
Hi guys who wants to math
GOODEVENINIGIM!1!!!??!!>>1>{¥{!GUYS.i can’t og mygmay
Numbers AAAAhouuuh my goodness
We love math! I, personally, love understanding and figuring out how to prove something to be true. Some ancient mathematician didn't wake up one day and proclaim that sin(A)/a = sin(B)/b, they played around with lines and angles in a triangle until something cool happened! So, I want to show you why the laws of sines is true. The proof is super simple - in fact, at any point, feel free to try to figure the rest out yourself!
Okay, so there are a lot of different ways to define sine (because it comes up in so many different areas), but the one I am going to use is that, in a right triangle, the sine of an angle = (the length of the opposite side)/(the length of the hypotenuse). In the picture below, this means sin(x) = o/h. You might also remember that cos(x) = a/h and tan(x) = o/a, but we don't need those facts here.
Okay, but the law of sines works for any triangle. So, let's grab an arbitrary triangle!
This triangle has angles A and B, with opposing side lengths a and b. But uh. Um. There's no right angle here. How are we supposed to find sin(A) and sin(B) if we don't have a right triangle?
The answer: we make one!
Here I've drawn a line that goes straight down from one of the vertices so that it makes a right angle with the edge. (This line is called an altitude of the triangle, but that's not important for this.) Now we have two right triangles! The left one, and the right one. Now it'll be helpful if we name this side length, so let's call it x.
Now we can easily find sin(A) and sin(B)! By definition, sin(A) = x/b. We can multiply both sides by b to get b*sin(A) = b*x/b. But, b*x/b is just equal to x because the *b and /b cancel each other out. So, we have b*sin(A) = x.
On the other side, we get sin(B) = x/a. We can do the same thing as above (only with a instead of b) and get a*sin(B) = x. Well, if b*sin(A) = x and a*sin(B) = x, then they must be equal to each other! So, b*sin(A) = a*sin(B). If we divide both sides by b, we get sin(A) = a*sin(B)/b and then dividing both sides by a gives us sin(A)/a = sin(B)/b. It's the law of sines! We did it!
I hope this was illuminating for you! Keep loving math and always try to figure stuff out!
Hey wait so this is like really cool. waow.you are very cool tahnk you so mujch😮
This explanation felt like I was a third grader being taught subtraction. Like in the way it was simple enough to make easy sense.wow
I like calculus
Actually I’ve only started doingdifferential calculus. I like limits though. It brings me joy. yay
HAPPY PI DAY.
I won a math competition today. Yay.
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I FIGURED IUT THE WORD
I find math fascinating 😛
Math!
Math-math-math!
MATH!!!!!!!!!!!!!! :D
My love for math is.normal
FUCK I love math ohmyogod
I LOVE math
Math amth amth
Math math
M
So relatable, math is the fucking best. Hottest thing to ever exist
YES BRO.
MATH
(The crowd cheers)
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
Free to watch • No registration required • HD streaming
FUCK I love math ohmyogod
I LOVE math
Math amth amth
Math math
M
I love thinking about how like those dudes even figured math stuff out cuz like… wha…t
How do you sit down and you’re like “oh yeha uh circles? All the way around dividied by all the way across is a very long number that goes on forevev and ever. Yup.” Like what.hu
Andit’s like
I doin’t even know dude hfhfgjgjdhhjfhsg
It’s so cool to me and it makes sense
It’s also super fun getting to do stuff that I know good enough that I can put my brain on auto pilot and just do a buncha problems…like systems of equations……..and stuff
Or follow if you uhhhhhh needsomeone to do your math homework for you/silly
Guys math is SO cool like how did those guys even figure that out????????????????like thank you for wasting your life on this six-part formula I love you
Who decided sinA/a=sinB/b=sinC/c?????LIKE HOW DO YOU EEVN
H???OW?????????????????
Ohmygay I love you math I love you forever and ever and ever and ever and ever and evr an dever ad EVRE.❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️hi guys
Hi does anyone want to like
Math with me
Hi guys who wants to math
GOODEVENINIGIM!1!!!??!!>>1>{¥{!GUYS.i can’t og mygmay
Numbers AAAAhouuuh my goodness
Can you guess what I’m about to post about
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
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Math btw
