TRIG REVIEW #2: IDENTITIES, EQUATIONS, & POLAR GRAPHS

TRIG REVIEW #2: IDENTITIES, EQUATIONS, & POLAR GRAPHS

So this trig review is going to be about trig identities, how to solve trig equations & oblique triangle problems, and last but not least, polar graphs.

Trig Identities: You have to know these identities (except half-angle and sum/difference). Also the bottom two are necessary for solving trig integrals, so memorize those!

image
image

Trig Equations: Here are various example problems showing how to solve trig equations.

Oblique Triangle Equations: You only have to know the equilateral equation for area of cross sections in Calc BC. The rest is just extra info. that is nonetheless helpful to know. (:

image

Polar Coordinate:

image

Polar Graphs: Memorize these trig graphs for finding polar area! (All graphs come from Wolfram Alpha)

image

And that’s basically all the trig you need to know for Calc BC. Good luck! If you haven’t seen my part 1 post, you can find it here.

More Posts from Swirlspill-study and Others

6 years ago
In The Wise Words Of ABBA, “money Money Money, Must Be Funny In The Rich Man’s World.” Unfortunately

In the wise words of ABBA, “money money money, must be funny in the rich man’s world.” Unfortunately most students are hardly part of the rich man’s world, so here I’ve compiled a list of tips regarding how I personally manage to save and budget my money!

general tips

ask yourself: do you really, really need this, right now? my parents make so much fun of me because i will spend half an hour in a store and end up not buying anything, but this is a really important and effective way to prevent purchases that you could justify, but don’t actually need. i LOVE christmas shopping and gift shopping, but i have to limit myself to one gift per person. do they really need a second gift? even if it seems cute and perfect? no. you want a second or third vest, but do you need it? you have a washing machine and you can wear that vest more than one time before washing it.

keep money in perspective. if you see something that you think is a good price, check yourself by measuring it against a practical essential. for example, you could get that $20 top, OR you could get 9 toothbrushes for the same amount of money. (that’s kind of a lame analogy, but you get what i mean)

do not spend unnecessary money just because it’s a sale! make sure to still ask yourself if you need it. even if it’s a great sale, remember that it’s still money that you’re spending. spend it wisely! it’s better for your purse if you spend nothing because you don’t absolutely need something than if you spend even a little bit on something you don’t need.

BUDGET/TRACK YOUR SPENDINGS. (see below)

budgeting

download money-saving apps. I keep track of my spendings by keeping a binder full of all my receipts, taped to paper and inserted chronologically. And I use spending tracker by MH Riley Ltd (free on the app store), which allows you to log expenses and income, set budgets, and create categories. You can see pie charts for a breakdown of how much you spend on each category as well! I’ve used it for a couple months now and it’s been really useful because I can also see how much I spend in a big spending month (December) vs a normal month. I honestly spend a lot less money than I feel like I do - so it helps me stress a little bit less about money - and when I know that I log every purchase, it helps me save more and be more conscious of what I’m spending (similar to the effect that paying with cash instead of card has).

budget before each month/semester/season. You’ll have a general plan of what’s going to happen in that time frame (trips, classes, weather) and can plan expenses accordingly - estimate how much you’ll spend on whatever you’re planning to do. Leave yourself a cushion (I usually overestimate by a lot on purpose haha) and allow for food/leisure/shopping expenses. It can also help to work backwards, starting with a baseline amount of money you want to spend and either dividing it up by week/month (spend x amount of money per week), or breaking up the sum into categories as previously mentioned.

shopping tips

sign up for rewards at pharmacies. i am a hardcore CVS customer and saver, and i’m not sure about other pharmacies (from my experience, they aren’t nearly as good when you need to save). one time i saved 52% on my purchase! they’re great with giving you extrabucks and with a card, you can often take advantage of a LOT of deals.

clip coupons to your heart’s content! seriously. coupon clipping is nothing to be ashamed of. i am that person that shows up to the counter with a stack of coupons #noshame.

settle for non-brand name products (sometimes). this isn’t a foolproof rule; there are some items where the less expensive version is actually bad compared to the more expensive brand names, but usually the cheap brand of food is okay/tolerable too, and can be significantly less expensive, and if you go with the generic brands, the savings stack up. 

shop online. look out for in-store deals. old navy is my all time FAVORITE to online shop. they have excellent deals, esp around the holidays. stores have sales relatively frequently; if they don’t have any sales going on (other than their sale rack, which is always a good place to check first), go back again later.

go straight to the sale section. this is pretty obvious.

look at unit prices. the best deal is really based on the unit price. i get that sometimes you just want the least expensive item, but if it’s something like a baking essential and you want to get the best quantity for the price, check the unit price first.

if you are small enough, check the kid’s section. kid’s clothes and shoes are generally less expensive. an adult small is usually equivalent to a girl’s L or XL, and a boy’s M or L. an adult size 6 shoe is usually a girl’s size 3. they make some wicked cute sweaters and t shirts and shoes for kids, and you can save up to 50%! especially on small things like flip flops, plain t shirts, etc.

tell stores when your birthday is if they ask! i know a few stores do ask for your birthday (vera bradley is the one that jumps to mind first), and if they do, TAKE ADVANTAGE OF THAT! i got a legitimate coupon from vera bradley for the month of november out of it and was able to get a wallet at a great discount!

‘checks and balances’: college student style

shop with cash. when you pay with cash and not a card, you see how much you’re spending. i get paid in cash when i babysit, and that’s usually my spending money for the week. if i’m out of cash and i’m going shopping, i’ll withdraw like $40-60. when i have the physical money in my hand it’s easier to reality check and budget than if i swipe a card, even if i have a number in my head already.

take your time. okay, this isn’t always an option, but impulse buys are what often get people - those little things at the line in forever 21, or the candies by the cash registers at k mart. take time to deliberate over whatever it is that you’re buying.

saving on practicalities

rent textbooks. i know there are a lot of websites out there where you can supposedly download books. i haven’t looked at any of them (here’s a masterpost by @blogresources that includes a section about free textbooks), but i know i prefer having a physical book. you can rent most textbooks (i can’t make guarantees, but from what i’ve seen/heard) on amazon for a fraction of the price, and they will give it to you for the entire semester. for example, i need a textbook, and i could buy it for $143 or rent it for $22.

don’t buy fancy stationery. use that as a major splurge, but honestly, you can get by just fine with $1 notebooks from the pharmacy and pens and pencils that will do the job. i have found plenty of pens that cost less than $3 that i love.

carpool / bike / walk / take PT when possible. it depends where you live; i know that sg has an amazing PT system. it takes longer to get places, but costs like $3 from one side of the island to the other. if you live in boston and places are available via the T, take advantage of that, and so on with all the cities out there. if you can reasonably bike to somewhere, do it. walking is always best. but don’t let yourself get hypothermia! if it’s cold, take a taxi or car. gas prices stack up big time, and it doesn’t really make sense to have a car in college anyway! 

don’t eat out. don’t go to starbucks. these are small things that chew up a LOT of money each month. i limit myself to eating out once every 1-2 months, and set a $10 limit when i do so. starbucks/dunkin donuts = splurge. bring water/drinks and snacks with you, especially if you know that you’re going out and will likely get hungry!

disclaimers

REMEMBER TO TREAT YOURSELF SOMETIMES. set a budget each month and if you come out under the budget, it’s okay to treat yourself! don’t use up all the deficit if you can, but treat yourself to something nice that you don’t explicitly need but that you’ll use.

make allowances for social events! if you are hanging out with a friend, going to the movies, going out to eat, etc, be mindful of your money but don’t turn down an invitation just because you don’t want to spend the money. going to a movie once every 1-2 months is okay! you can find someplace inexpensive to eat, or agree to eat before going and just get ice cream (less expensive) after.

moderation is key. this all sounds really restrictive, but do remember that moderation is okay here. you shouldn’t sacrifice your comfort and health just to save some money. everything will be okay in the end, and stressing about money isn’t good for anyone.

please message me if you have any other specific questions!


Tags
6 years ago
Note-Taking
Note-Taking
Note-Taking
Note-Taking

Note-Taking

Hey guys! So I’ve been receiving questions regarding my note-taking style and strategy for quite some time now but I believe I have never answered them in detail. The good news is, I finally decided to make a post about this (plus, I had fun making the graphics :D). Note that I am a visual learner, so my note-taking methods may not be effective for some of you, but I hope you can all learn something.

Class Notes

I only use one notebook for all my class notes, an A4 grid notebook whose pages I divide into two columns.

I use the outline method for in-class notes, which means I write information chronologically, in the order that they are taught. Some teachers do not have properly structured presentations/lessons (good thing my physics teacher does) so when in need, I use arrows to connect related information.

Abbreviations to me are one of the most important things to master when taking notes. I personally make them up as I go along. Some examples of abbreviations I use are:

w/c - which

w/ - with

cpd - compound

envt - environment

digenz - digestive enzyme

It might be confusing, but to me, knowing the context and part of speech are enough for all abbreviations to be comprehended.

Here’s an example: ‘Indonesia’s tsunami pre-warning system is made up of two types of components’ could become ‘Indo’s snmi pre-warn sys 2 type comp’.

After Class

The first thing I would do is highlight keywords and terminology (and sometimes formulas). For physics, since my teacher is relatively succinct, I don’t really highlight, but for humanities and biology, I look for words that would be expected by a mark scheme, words that are crucial to the understanding of each particular piece of information.

I would then check if the material taught coincides with the syllabus, and if not, note down any points that are missing or have yet to be taught. You could write these on a post it or on the syllabus itself, but I prefer to highlight the syllabus’ pdf file.

Rewritten Notes

My rewritten notes are arranged based on the order they appear in the syllabus unless there are pieces of information that are related to more than one topic.

I use a black pen for rewriting notes as well as colored pens to write keywords and terminology only. I know some people who write whole sentences in colored pens but to me that is ineffective; we all have our own learning styles. When making tables, I usually use different colors for different columns (see the table for different types of radiation above) which is most often the color I associate with each word. For example, water would be blue, ocean would be a darker shade, ice would be a lighter shade, and water vapor would be purple.

I still abbreviate words in my rewritten notes, but they’re not as condensed as the ones in my class notes. Another thing I find helpful is leaving a bit of space between separate points especially if the page doesn’t have a lot of diagrams. I can’t think linearly, so I can’t remember super lengthy bullet points.

I use mildliners and a drawing pen to make my diagrams (more of these in my biology notes) but I only start with pencil if it’s a complex diagram. I rarely highlight my rewritten notes, but even if I do, it’s usually only the headings and formulas.

I don’t have a rough draft for my notes, but I try to visualize the layout. I try to alternate between words and pictures/diagrams so that when I’m sitting for an exam, all I have to do is imagine that I’m looking at that page and I can remember where everything is.

Well, that’s all from me. I hope that this information could be of some use to every single one of you. Don’t hesitate to ask me questions if you’re confused about note-taking or any other problems you might have :)


Tags
7 years ago
TERRAFORM: Ambient Electronic Sci Fi Playlist For Space Kids Trying To Ace Their Finals
TERRAFORM: Ambient Electronic Sci Fi Playlist For Space Kids Trying To Ace Their Finals

TERRAFORM: ambient electronic sci fi playlist for space kids trying to ace their finals

( listen on spotify / my other playlists )


Tags
4 years ago
Academic Phrasebank is a phraseological resource for academic writers organised according to the main sections of a research paper or dissertation.

This website is helpful, especially if you’re new to academic writing! You can select what section of your study you’re writing about and then it provides you with example phrases for different parts of that section. I find this super useful when I feel like I’m repeating myself or I know what results I want to describe but I don’t know how to say it. Here’s an example below:

This Website Is Helpful, Especially If You’re New To Academic Writing! You Can Select What Section

Tags
6 years ago
We’ve All Been In This Situation For Different Reasons, Anxiety, Procrastination, Work, Way too Many

we’ve all been in this situation for different reasons, anxiety, procrastination, work, way too many assignments in a week. but fear not my friends, hopefully, this masterpost will help you get A’s and organize your study schedule.

also please only do this every time you need to study for a test, cramming is not good for learning and pulling all-nighters frequently isn’t healthy.

study tips

cramming

how to cram for a big test by @studyign how to cram efficiently by @study-studymore-studyhard test and cramming tips how to cram the night before a test and pass 10 ways to cram successfully 

all-nighters (the last resort) 

how to pull an all-nighter and pass your exam  all-nighter survival tips by @rookiemag how to pull and effective all-nighter stay all night without feeling sleepy: pt1 / pt2  expert-approved guide to pulling an all-nighter pull the most efficient all-nighter how to pull an all-nighter how to pull and all-nighter : from the special forces do’s and don’ts of pulling an all-nighter

really do them if it’s absolutely necessary:

is it bad for you to pull and all-nighter why you should never pull and all-nighter

the night before the exam

study the night before  by @renaissence study the day before by @getstudyblr night owl study tips by @lawjournalsandwine  the night before the exam by @studyspoinspo how to study the night before a test the night before the exam tips top tips for the night before and the morning of the exam how to pass an exam if you forgot to study the night before study the day before the exam 10 things you should do the night before a test 7 mistakes you make on the night before an exam you’ll never make again

i have less than a week to study

five day study plan by @brandi-studies  how to study for an upcoming exam by @noteblr how to remember everything for a test in 3 days by @getstudyblr when you have a test really soon study well in short time study for exams in limited time ace an exam that’s around the corner

tips

25 study tips by @studyign  how to study more efficiently fastest way to memorize by @studyign common study mistakes by @studyign tips on study last minute by @milkystudies how to get things done by @lattenotlate   study smart not hard 10 tips to study smart and save time useful tips to study in short time how to study for an exam effectively prepare for a exam in a really short time study for an approaching exam the secrets to study effectively in short time nice time management advice how to study in groups how to stay focused by @elkstudies finals week masterpost 22 science based tips to study for an exam 20 study hacks to imporve your memory

exam tips

tips for during the exam

15 tips to boost your exam performance

how to answer exam questions

7 last-minute exam tips

28 top tips for exams and tests

top 10 tips for taking exams

last minute revision tips

exam prep

how to mentally prepare for a test by @eruditicn

anti procrastination masterpost by @elkstudies

beat anxiety and stress in 1 hour and start studying!

how to stop procrastination

deal with exam anxiety by @attackonstudying

scientifically the best ways to prepare for an exam

motivation

how to get motivated

my motivation tag

more masterposts

app masterpost

DIY masterpost

food masterpost

how to: group work

printable masterpost

language masterpost

music masterpost

my study methods masterpost


Tags
7 years ago
06.10.17 // Constructive Details Keep Getting More Difficult Every Class, But I Think Until Now I’m
06.10.17 // Constructive Details Keep Getting More Difficult Every Class, But I Think Until Now I’m

06.10.17 // Constructive details keep getting more difficult every class, but I think until now I’m getting them!


Tags
6 years ago
Hello! Precalculus Is A Pretty Interesting Class If You Put Your Mind To It, And I Found Some Great Resources

hello! precalculus is a pretty interesting class if you put your mind to it, and i found some great resources for it so i thought i would share! also, since trigonometry is part of this subject, that’s included too!

khanacademy

purplemath

precalc dictionary!

math forum

mathbff

course notes

notes by topic

amazing formula sheet

sparknotes: math

edX course!!

math study tips

video lessons

ucl instructional videos

quadratic formula song

math professor quotes

+ trig specific

khanacademy!

course notes

how to learn trig

great formula sheet

interactive unit circle

trig identities hexagon

basic trig + graphing

identities and equations

unit circle song!

more masterposts!!

algebra

AP chemistry

AP world history

studyblr-ing

the Everything Book

the pomodoro method

how to use flashcards

how to use sticky notes

welcome to high school

tiny study spaces

what’s in a pencil case

i hope this was of help to you! keep shining like the star you are and remember to be awesome today!!

- Aza


Tags
7 years ago
I’ve Been Here 8 Hours I Think They’re Ready To Kick Me Out.

I’ve been here 8 hours I think they’re ready to kick me out.


Tags
2 years ago

Pro-tips for rookie academic writers after grading about a quarter of the midterm papers for my undergrad Shakespeare class:

If your entire argument can be made in one sentence, it’s too simple. 

If your argument cannot be summarized in one sentence, it’s too broad.

If your argument can’t be argued with, it’s not an argument.

Teachers don’t want you to fawn on the material; they want you to engage with it. Just fangirling over Shakespeare isn’t going to get you an A.

Avoid big sweeping generalizations in your opening sentences (and everywhere else). “Since the dawn of time” or “Of all the playwrights who have ever lived,” etc. etc. are superlatives you can’t possibly prove.

If you’re going to say that an author/text does something, you’d better be ready to demonstrate how. 

Your opinion is not analysis. Learn the difference. 

“Interesting” and “intriguing” are useless words that tell a reader nothing about the text. Be more specific.

Don’t assume you know a character’s motives without evidence from the text. Don’t assume you know an author’s motives, full stop.

If you’re a man making an argument about female perspectives in a text, have a woman read it before you turn it in. Just trust me on this one. 


Tags
7 years ago
This Is What My Revision Wall Looked Like This Time Last Year. So Gutted I Got Rid Of These Note Cards.
This Is What My Revision Wall Looked Like This Time Last Year. So Gutted I Got Rid Of These Note Cards.
This Is What My Revision Wall Looked Like This Time Last Year. So Gutted I Got Rid Of These Note Cards.
This Is What My Revision Wall Looked Like This Time Last Year. So Gutted I Got Rid Of These Note Cards.

This is what my revision wall looked like this time last year. So gutted I got rid of these note cards. I’m so dumb.


Tags
Loading...
End of content
No more pages to load
  • elegantlyenchantedstubbornfool
    elegantlyenchantedstubbornfool reblogged this · 5 years ago
  • multilinguals
    multilinguals liked this · 6 years ago
  • yuserluser-blog
    yuserluser-blog liked this · 6 years ago
  • whales-are-gay
    whales-are-gay liked this · 6 years ago
  • abstrusecosmos
    abstrusecosmos liked this · 7 years ago
  • starveforchanel-blog
    starveforchanel-blog liked this · 7 years ago
  • studyinfinites
    studyinfinites liked this · 7 years ago
  • kat-lins
    kat-lins liked this · 7 years ago
  • mjmantia
    mjmantia liked this · 7 years ago
  • swirlspill-study
    swirlspill-study reblogged this · 7 years ago
  • liilgurl-blog
    liilgurl-blog liked this · 7 years ago
  • love-is-for-the-lonely
    love-is-for-the-lonely liked this · 7 years ago
  • nocturnalnotes
    nocturnalnotes reblogged this · 8 years ago
  • pointlessknowledge-blog1
    pointlessknowledge-blog1 reblogged this · 8 years ago
  • pointlessknowledge-blog1
    pointlessknowledge-blog1 liked this · 8 years ago
  • words-upon-blog
    words-upon-blog liked this · 8 years ago
  • caffeinated-lifestyle
    caffeinated-lifestyle liked this · 8 years ago
  • alltheluna-blog
    alltheluna-blog liked this · 8 years ago
  • chaoticcollegecollective-blog
    chaoticcollegecollective-blog reblogged this · 8 years ago
  • iobamacare
    iobamacare reblogged this · 8 years ago
  • cas-ola
    cas-ola liked this · 8 years ago
  • guccizero
    guccizero liked this · 8 years ago
  • mlsvch
    mlsvch liked this · 8 years ago
  • prettygaleliose
    prettygaleliose liked this · 9 years ago
  • ab-gail
    ab-gail liked this · 9 years ago
  • bleachscenariosandscenarios
    bleachscenariosandscenarios liked this · 9 years ago
  • callmekimthezombie-blog
    callmekimthezombie-blog liked this · 9 years ago
  • floralprintsandstudytips
    floralprintsandstudytips reblogged this · 9 years ago
  • floralprintsandstudytips
    floralprintsandstudytips liked this · 9 years ago
  • spookyfadedruins
    spookyfadedruins liked this · 9 years ago
  • studypac-blog
    studypac-blog reblogged this · 9 years ago
  • withoutacupof-tea
    withoutacupof-tea liked this · 9 years ago
  • taestyjimin
    taestyjimin liked this · 9 years ago
  • hercharisma
    hercharisma liked this · 9 years ago
  • in-the-key-of-f-major
    in-the-key-of-f-major reblogged this · 9 years ago
  • ray9816-blog
    ray9816-blog liked this · 9 years ago
  • gryeipfrut
    gryeipfrut liked this · 9 years ago
swirlspill-study - Swirlspill-Study
Swirlspill-Study

a study blog for collected references, advice, and inspiration

267 posts

Explore Tumblr Blog
Search Through Tumblr Tags