trigonometr

This is my trick for remembering trigonometric values. Forget memorizing those little charts or triangles, this is so much easier. 

I learnt this in 10th grade from my favorite teacher (who wasn’t actually my maths teacher at the time) and I still used it for the rest of High School and will probably continue to use it in University.

So what do you do? You draw the chart in the picture. That one. 

OK, but how do you read it? Like a table. (If you’re unfamiliar with radians, do not worry. It also works in degrees, just write: 0, 30, 45, 60, 90 instead.)

For example, if you want to find the sin(pi/2), you simply start at sin(x) and then move over until you’re at pi/2 (or 90 degrees). It says sqrt(4). Now you put that over 2, and you have it. Sin(pi/2) = (sqrt(4))/2, also known as 2/2, or 1. 

If you want to find the cos(pi/4), you do the same thing: start at cos(x), move until (pi/4). It says sqrt(2), now put that over 2, and you have cos(pi/4) = sqrt(2)/2.

For tan(x), just take the sin(x) value and divide it by the cos(x) value!

So tan(pi/6) = sqrt(1) / sqrt(3) = 1/sqrt(3).

I find this so easy to remember because the first line starts at zero and increases, and the second line starts at 4 and decreases. It works for any values (yes, even ones above pi/2!) and it’s so simple. I encourage you to start by writing it out on every paper, when you’re studying, and on your exams. 

  • Izuki: *sees math exam*
  • Izuki: WHAT IN INTEGRATION?
  • Koganei: WHAT IN DIFFERENTIATION?
  • Kiyoshi: WHAT IN STANDARD DEVIATION?
  • Mitobe:
  • Koganei: Mitobe says, “WHAT IN TRIGONOMETRIC IDENTIFICATION?”
  • Riko: What the fuck.
  • Seirin:
  • Izuki: Yeah, that works.
  • Hyuuga: Guys, we’re in an exam.

Dorrit Hoffleit (1907-2007) was a senior research astronomer for Yale University, best known for her work on several editions of the Bright Star Catalogue, an index of every star that is visible from Earth with the naked eye.

She started working as an astronomer for the Harvard College Observatory, and obtained a PhD from Radcliffe College. She was the director of the Maria Mitchell Observatory, where she ran summer programmes for students who often went on to pursue careers in the field. In addition to the Bright Star Catalogue, she worked on The General Catalogue of Trigonometric Stellar Parallaxes, a vital tool for understanding the kinematics of the Milky Way Galaxy.

24/10/16 | {2/100 days of productivity} I was in school today (even though it’s
supposed to be half term) doing my physics ISA :^/. On the bright side I got about an hour of maths revision done on trigonometric graphs so that’s good. (ft. this week’s bujo spread)

One For Both Teams Part 3

Summary: (High School AU) Starting fifth year in a completely new area proves less confusing than Y/N thought, as she easily befriends a number of people. The only thing is, not all of them get along, and Y/N finds herself torn between them.

WIP List

Chapter List

Masterlist

Originally posted by iwantcupcakes


Part Three

“Now, if you want to memorize a bunch of formulas and tricks, that will get you through the tests. Unfortunately, it will not give you an understanding of the mathematical universe, so I still recommend that you look deeper into these tasks and see the connections. Class dismissed.”

You let out a sigh of relief and packed your stuff up as quickly as possible, heading for the door. The other maths classes seemed to have ended a mere minute before yours, and the hallway was swarming with people. Great. Exactly what you needed after an hour and a half of trigonometric functions.

You gently pushed your way forward, trying to reach the door to the stairwell without trampling anyone or stepping on their toes, because good god that would be embarrassing.

Suddenly, your books were lying on the floor, and you had no idea how they got there. You quickly knelt down to pick them up, terrified of being stampeded to death by the masses of teenagers. You looked around for the last book, only to see someone handing it to you. You took it and stood up, causing him to do the same.

“Sorry, wasn’t looking where I was going.”

I’ll say, you thought, but decided not to make that comment.

“Oh, no, it’s fine. Steve, was it?”

“Yeah. Y/N, right?” he asked, and you nodded.

There was an awkward silence as the hallway around you kept buzzing. Was he expecting you to say something? You were just about to open your mouth when he spoke up.

“See you around, then,” he said, offering you a smile, which you returned, before pushing the door to the stairwell open. 

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turning Peter Parker on would include (not much tbh)

Originally posted by lennonblack

  • it’s really easy to turn him on
  • the two of you could be doing anything and he’ll get all hot and bothered
  • you say something smart and geeky, he can feel himself harden
  • you’re eating ice cream in front of him, he can feel his pants stretch
  • but one thing that works the best is straddling him
  • you’d be lying on the couch watching Spirited Away when out of nowhere, you straddle him
  • “w-what are y-you doing, y/n?”
  • “just getting comfy Pete, don’t mind me”
  • feeling him harden as you slowly grind you hips onto his
  • peppering his neck with small open mouthed kisses
  • kissing his adam’s apple
  • sweet moans escaping his pink lips
  • feeling his hands on your waist
  • placing your lips near his but not kissing him
  • “an-angel please…”
  • “please what, peter?”
  • him being done with your teasing, taking matters in his own hands and kissing you hard
  • the other time the two of you could be in your room, getting some homework done
  • “do you know the answer to this problem, y/n, it’s a hard one”
  • “maybe we should look at this as a natural trigonometric function and try to solve it by using the addition formula”
  • hearing his breath hitch
  • him letting out a small gasp
  • “peter, really?!!!”
  • “it looks like this question is not the only hard thing in the room huh”
The Tutor (NCT Taeyong)

Absolutly!   Great props to @ pastelkytastrophy for writing this one shot!  And if you like it be sure to hit the likes and we’ll write more for them in the future!!!

Pairings: Reader X Taeyong
Warnings: Smut & Spanking

I don’t own this picture, props to the owner!

Just a little fact about me is that I don’t usually need help academically. I’m the student who knows all the answers and does all the homework. Who gets hundreds on exams. But math. Well that’s a whole other story. It was never my strong suit. In past years I’ve been able to skate by and pass the class by doing the homework and tons of extra credit but precalculus is no laughing matter.

The teacher is strict and tests count for thirty percent of our grade, which is ridiculous. So, instead of trying to slowly fail this class I decided to take initiative and get a tutor. Of course I would have said ‘no’ once I knew who it was. Taeyong. We’re always competing to see who will be top of the class. He can be so arrogant and an straight up ass at times.

As he walks towards I just want to smack that well known smirk off his face. It was the same smirk he gives when he gets a higher grade than me, or gets called on by the teacher instead of me.In this instance it is because I am beneath him and he knows it. I know I’m going to regret signing up for a tutor.

He now sits across from me. His hands placed atop the formidable precalculus textbook, fingers gingerly tapping the hardcover of the book. He takes in my features and his smirk fades into a full on smile soon followed by an annoying chuckle, that infuriates me.

“What are you laughing at? The fact that you’re better than me,” I ask, with a hint of anger in my voice. He sat straight up now and looked at me and says,”No. I was laughing at the fact that you looked like a child pouting. But now that you mention it, I’m glad you recognize that I am in fact better than you.”

“I recognize that you’re an ass.”

“That’s not very nice.”

“It’s the truth. So are you going to tutor me or just mock me? I hate wasting time.”

“Let’s play a game. I like games,” he smirks.

“Wow, what a great tutor,” I snapped. He chuckles and leans back in his chair.

“I know I am. It’s a math game. I ask a question. You answer right, and you get a prize. Answer wrong and well you can figure out what happens.”

“Ummm I don’t know.”

With that he stands up from his chair and calmly stalks toward me with that smirk. But that time is different. I don’t hate that smirk. I kind of like it.

He outstretches his hand and I reluctantly take it. I stand up and am soon in close proximity to his face. It was at that moment that I realized how beautiful he is. His jawline appears like it was sculpted straight from the divine hands of the gods and his lips were curled up into that smirk that usually had gotten on my nerves but now is making me feel some kind of way.

He takes in my features before stating,”Remember, right answers get prizes. Wrong answers get punished. Now bend over the desk.”

Curious to see how this would play out I hesitantly bend over the desk. There’s dead silence and I glance over at him admiring the view. A smirk appears on my face and I ask,”Like what you see?”

SMACK. His large hand lands on my ass and I let out a small gasp from the sudden action. I glance back at him and he smiles before saying,”Did I say you could take princess?”

Princess? That’s new. I don’t reply for some unknown reason. SMACK. Another smack is administered to ass along with him demanding that I answer him. His voice has changed from slightly mischievous to raspy, lustful, and dominant.

“You didn’t tell me I could talk,” I said, still dumbfounded at the course of events.

“Good. Only speak when asked a question.”

“Fine. Fine,” I said.

“You’re bad at listening. Let’s just get started and forget your mistakes.”

I roll my eyes half annoyed with myself and half annoyed with that fact that not even two hours ago I despised him.

He ask some questions having to do with trigonometric equations and something else. Of course I got a ton wrong but I’m pretty sure I got one right and still got punished. Soon after he pulls me up by my arm and turns me around.

“So see you tomorrow to learn about trigonometric identities?”

I nod my head and with that he places a ginger kiss to my lips and leaves. That almost annoying smirk appears on his face as he leaves.

***I don’t own any of these gifs, all credit to their owners***
**Request box is open.**
*Don’t forget to click “Follow” for more reactions and scenarios*
 

(6/2/17)

me attempting to comprehend exact values of trigonometric ratios😂

I got a new maths notebook today! This will probably be the last one I start before my GCSEs…

hope everyone had a great Monday! 💗

EXO at School
  • Yixing: [sees math exam]
  • Yixing: WHAT IN INTEGRATION?
  • Baekhyun: WHAT IN DIFFERENTATION?
  • Chanyeol: WHAT IN STANDARD DEVIATION?
  • Jongdae: WHAT IN TRIGONOMETRIC IDENTIFICATION?
  • Minseok: What the fuck.
  • Kai&Suho: ...
  • Yixing: Yeah, that works.
  • Kyungsoo: Guys, we're in an exam.
2

here’s how you rotate text in MS Paint

  1. decide what angle ϕ you want to rotate by
  2. select the part of the image with your text in it [1]
  3. click the button in the top bar that says ‘Resize’
  4. make sure the ‘Maintain aspect ratio’ box is turned off
  5. grab a calculator that supports trigonometric functions [2]
  6. calculate 100*cos(ϕ) and put it in the first box [3]
  7. calculate 100/cos(ϕ) and put it in the second box
  8. put -ϕ in the third box
  9. calculate arctan(sin(ϕ)cos(ϕ)) and put it in the fourth box
  10. transform!

[1] note MS Paint does not support layers so any part of the picture right next to your text will also be rotated

[2] Google or Wolfram Alpha will do it, but make sure to type ‘degrees’ to tell it your angle is in degrees not radians

[3] you can’t put decimals in the MSPaint resize box so just round it to the nearest whole number…

Derivation for the above formulae here. tl;dr: multiply shear and scale matrices together, set equal to rotation matrix, solve equation.

this is how I take my notes for Calculus II. enjoy!

1. LECTURE

  • attend your lecture
  • designate a notebook, only for lecture notes. I recommend using a notebook with graph paper, but lined works too. it really doesn’t matter.
  • take your notes in pen! I know it’s weird to use a pen in a math class, but pencil fades and using a pen makes you confident
  • use only a maximum of two pens! I usually only use one, but using two helps differentiate two functions when graphing them
  • when working a problem, if you need to write in an extra step or make a side note to explain what you did, DO IT! 
    • professors work the problem while talking so, on the board, they only show their steps and they usually skip basic algebra steps. If you need to see those basic algebra steps to understand the lesson better, then add it in to your notes.  

2. REWRITING YOUR NOTES

  • my lecture notes are always messy, so i rewrite them on loose leaf graph paper ON THE SAME DAY! 
  • rewrite your notes in pen! 
  • use a different color pen to write in those side notes from your lecture; highlight all equations
  • after I’ve rewritten my lecture notes, I place them in a binder, number them and update my index
  • at the front of you binder, create an index, contents page, etc. where you can add the title of your notes (ex. 10.1 integrals) with its corresponding page number 
    • this makes referencing back to any method so much easier

3. DO YOUR HOMEWORK

  • all of my homework is online, so I use my lecture notebook to work out my homework problems
  • when doing my homework problems, I make note of any problems that I didn’t fully understand or that I found incredibly difficult 
    • I just put a question mark by the problem number in my notebook
  • after I’ve completed my homework, I go back to the problems I had trouble with and rework it to try and understand it better 
  • after I completely understand it, then I rewrite it on loose leaf graph paper and add it to my notes that correspond with that section or lesson
    • I usually review my homework problems when the test date is coming up. I find this is a great way of studying. 

4. NOTECARDS

  • after all my notes and homework problems have been rewritten, I go back through all my notes and make notecards
  • I make notecards of all my equations, methods, theorems, special integrals, derivatives and integrals of trigonometric functions, trigonometric identities, etc. that I find in my notes
    • I make the notecards when the exam is coming up because it is another study method

all the love.

steph x

Popular (With Chanyeol)

Originally posted by fyeah-chanyeol

genre: fluff!!
3912 words

summary: whoever wins at a carnival game in one try deserves a freaking medal not a rilakumma plush toy, everyone thinks. well, everyone except for chanyeol. he’d rather spend a hundred dollars than come home without that bear.

“Ring toss! Toss a ring and win a thing! Five dollars, five dollars!” You chant, waiting for more kids and teens to show up at your booth so you could show off your carnival skills to your coworkers.

You’re pretty sure it’s because one bucket full of rings is only five dollars compared to all the other expensive games they have in this carnival but your ego isn’t going to let yourself admit that.

“Give me one bucket please.”

“Here you go sir-” As you give the bucket of rings, you look up to find the most popular guy at your school in front of you, a big grin of dedication on his face.

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2

25-26.1.2017 - (days 14-15/100) + math notes + shadows at a mausoleum

yesterday i worked on anatomy (the nervous system xp) and today i learned a bit more about graphing trigonometric functions (tbh not my favorite thing ever)

i’m veeery tired right now…. but 400 followers??? only six days after 300?? you guys are incredible honestly.. i have no idea what to do for 400 because the blog rates for 300 are still going on ? and i don’t have photoshop atm but after i finish midterms i’ll figure something out (i’ll take suggestions though ^^’). THANK YOU ALL ILY <333

so since I’m probably getting pet rats in a couple weeks and I’m excited for them, what if all the Pines had their own very close pet, not just Mabel with Waddles?

Dipper would, I think, do a ton of research before selecting a strange, somewhat exotic pet that fits his personality. Maybe an African Grey parrot, known to be super smart, that Dipper spends hours trying to teach intelligence puzzles and increasingly complicated phrases? Imagine Dipper using his parrot as a study aide, pretending its a person he’s teaching the content to (they say teaching something is the best way to properly learn it) and this leads to amusing situations where the parrot starts including trigonometric functions and the steps of mitosis into its everyday randomly repeated vocabulary

Stan would probably be much more “boring” by comparison, having taken pity on some stray cat or dog (grudgingly impressed by its moxie in breaking into the shack or something). The stray is missing half an ear and is clearly blind in one eye with a crooked tail, looks ugly as sin and hates everything and everyone except for Stan. They learn to tolerate family, but they will never cuddle and ask for attention from the other Pines like Waddles sometimes does. 

This is totally coloured by my recent experience, but I like the idea of Ford having a rat. Normally, rats are always better in pairs, but Ford just has the one. It makes up for this species isolation by literally always being with Ford, somewhere in his jacket or sleeve usually. Rats also only live at most to 3 years, but Ford had it out of the portal, and its still pretty spry after a couple years on the Stan o War. Stan’s convinced it’s some genetically altered specimen Ford rescued, because there’s no way Ford has a normal pet rat. Dipper thinks its a normal rat and that Ford is doing Great Science Things to prolong its life. Mabel thinks that it’s “love conquering all” and that karma really owes it to Ford anyways. The real truth is that it’s a pet rat that happens to be from a dimension where rats have a much longer lifespan and are even more intelligent

Peeta (HOLIDAYish? Peter Parker One Shot)

Request: None

A/N: Hey, everyone! I decided to take a little break from requests and do an imagine/one shot that I’ve come up with myself! So if you want a part 2 (which is very very holiday focused) let me know! Or maybe one from Peter’s point of view? It only seemed fit to write this first because it’s the holidays so why not have some holiday Peter feels? Also I think this situation would be set before or at the beginning stages of Peter gaining powers and becoming Spider-Man. I don’t think he would need caffeine or even have the time to sit down and do his homework in a coffee shop once he’s Spidey. Just wanted to state that lool anyways, hope you enjoy! ;)

Summary: Peter is a regular at your Starbucks and you are a regular part-time barista.

Warnings: None other than the fact that it’s kinda long? I don’t know, it’s been a while since I wrote. Also its pretty cheesy and fluffy.

Originally posted by gounderoos

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