a co. 1 4 in

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. 


(Updated May 31, 2017)


summary: you want her, you need her, and i’ll never be her

parts: 1 | 2 | 3 | 4 | 5

Black, No Sugar

summary: “i have a history paper due tomorrow and you’re sitting
                    beside one of the only outlets in this shop and also your
                    taste in coffee is shit” (or something along those lines).


summary: soulmate au where the first words you’ll hear your soulmate say are inscribed on your wrist.

parts: 1 | 2 | 3 | 4 | 5 | 6 | 7


summary: "for Nat’s sake, Y/N, will you pretend to be my girlfriend?“

parts: 1 | 2 | 3 | 4*

All These Things

summary: bucky barnes is a horrible person, barely human. but she? she could say she’s an angel and he wouldn’t even doubt it.

Metal and Blood

summary: “funny you’re the broken one but I’m the only one who needed saving.”

parts: 1 | 2*


summary: do you ever think about the past? about how different today would be if yesterday was different?“

“I know I wouldn’t be in this fucking freezing house if things had been different.“ 


summary: the prank was for tony. you swear, it was. 

parts: 1 | 2*


summary: Finding a place to live in New York City is harder than you thought, and yet when Bucky Barnes makes you an offer you can’t reject, you think your bad luck with hideous apartments might be over. The catch? You two can’t stand each other. (Living with him can’t be that bad, can it?) 

*co-written with the lovely @buckyslion​ 

parts: 1 | 2 | 3 | 4*


summary: “bucky had never been held responsible for what he’d done, but you, oh god, everything that had happened had been your fault, and bucky knew it too.”

parts: 1 | 2 | 3*


summary: Y/N’s curious, clumsy, and has a knack for asking the wrong questions at the wrong time. Bucky’s a hot-headed prick with a dark past and communication issues. Both are paired for training, and neither party is all too thrilled.

parts: 1 | 2 | 3 | 4*

*fic/part in progress
✝ requested fic 



Crushing On My Manager (Fluff): When EXO gets a new female manager and Xiumin develops a crush: [Part 1] [Part 2]

Missed Calls (Angst): When you’re scared of walking home alone and he doesn’t answer his phone: [x]


Coming Down With Something (Fluff): When he stays home to take care of a sick you: [x]

Shopping (Fluff): Going food shopping with Junmyeon: [x]


Cool Move (Fluff): When Yixing tries to show off to his wife and son but things end up being bad for him: [x]

Tease Me (Smut): Daddy Yixing can get you so worked up sometimes: [x]


Clean It Up (Angst): When a spill sets off an argument: [x]

Song For You (Angst/Fluff): Getting into a fight with Baekhyun and he does something special to apologize: [x]

Feel Better (Smut): Having an argument with Chanyeol and going to Baekhyun’s place to cool off: [x]

Not Bad of A Choice (Angst/Fluff/Smut): An arranged marriage with Baekhyun, who didn’t want it just as much as you did: [Part 1] [Part 2] [Part 3] [Part 4] [Part 5] [Part 6] [Part 7] [Part 8] [Final]

Saving Water (Smut): Fluffy shower smut with Baekhyun: [x]


Hot Damn (Smut): When Chen gets turned on while watching you clean: [x]

You’re My Boyfriend Now (Fluff): Meeting Jongdae at a University campus: [x]

Private Daddy (Smut): Jongdae is low-key daddy: [x]


Bully (Angst): When he’s your bully: [Part 1][Part 2] [Part 3] [Part 4]

Our Little Princess (Fluff): When he finds out you’re giving birth during his concert: [x]

I’m Not Looking (Smut): He lies to see you shower: [x]

I’m Sorry (Angst): When he forgets your anniversary and an argument breaks out: [x]

Too Close to Her (Angst): When you’re jealous of him being close with Moon Gayoung: [x]

He’s Rude (Angst): When you’re partnered up so he can help you as a trainee: [x]

Didn’t Make It (Angst): When you go through a miscarriage: [x]

You’re His, What? (Fluff): When Chanyeol introduced his girlfriend to the members, not knowing one of them is your brother: [x]

Jealous (Angst/Fluff): When you’re Suho’s best friend and Chanyeol gets jealous because you two are close: [x]

Your Dare (Fluff): When you’re dating and you do a dare with another member and he gets jealous: [x]

Jungle Buddies (Fluff): When you two are on the same team on Law of the Jungle: [x]

Come Over (Smut): When wanting to surprise him turns into him surprising you: [x]

Chills (Fluff): Autumn walks and hot chocolate with Chanyeol: [x]

Save Her (Pathcode AU): Chanyeol saving you from the bad guys that froze you: [x]

Was He Better Than Me? (Smut): When you gotta kiss Sehun for a drama and Chanyeol gets angry: [x]

More Than That (Smut): When you think he’ll kick you out after being a one night stand but he begs to differ: [x]

Punishment (Smut): Daddy Chanyeol. Enough said: [x]

Seeing Green (Angst): Chanyeol getting jealous of the texts that you’ve been receiving: [x]

Against the Desk (Smut): Daddy Chanyeol scenario #2. Lots of oral: [x]

Different Light (Angst/Fluff): When you develop feelings for your childhood friend, Chanyeol, but he has different feelings: [Part 1] [Part 2] [Part 3] [Final]

• Her Again (Fluff): You meet the high school popular boy, Chanyeol, again after 10 years: [x]


Make Him Mad (Fluff/Smut): When teasing him ends up with sex: [Part 1] [Part 2]

Explain To Me (Fluff): When he asks you to explain to him what everyday objects are in English: [x]

Best Of Winter (Fluff): Winter with Kyungsoo: [x]

First (Smut): Kyungsoo giving you your first oral: [x]

Strike Three (Smut): Daddy Kyungsoo, need I go on?: [x]

Through the Screen (Fluff): Kyungsoo proposing onstage: [x]

Match (Angst/Fluff): Kyungsoo says some crucial things to you: [x]

Little Do You Know (Angst/Fluff): Song-fic based on the song Little Do You Know by Alex and Sierra: [x]

Surprise! (Fluff): Kyungsoo surprising you at your college: [x]

Only Me (Smut): Kyungsoo getting jealous, but cute smut: [x]


What’s Her Name? (Fluff): Trying to figure a name for your baby: [x]

Cookies n’ Cream (Fluff): When you’re pregnant and get attacked by sasaengs while out shopping: [x]

Popsicle (Smut): When you unknowingly provoke him with a popsicle: [x]

Protect You (Pathcode AU): When he risks his life to save you: [x]

That’s My Shirt (Smut): When he catches you dancing in one of his shirts: [x]

Not Good Enough (Angst/Fluff): When you’re insecure of him hanging out with idols: [x]

Ache (Angst): Kai getting too into the fame and his work that you feel neglected, an argument breaks out: [Part 1] [Part 2] [Part 3] [Part 4] [Final]


Co-Workers (Angst): When you two work together and he’s a jerk: [x]

She Cheated (Angst): When you’re acting cold to him and he finds out you’re cheating on him: [x]

Mister Cold Guy (Angst/Fluff): When he, the school’s heartthrob, is cold to you: [x]

Maknae’s Argument (Angst): When he gets into an argument with you: [x]

Body Weight (Angst/Fluff): When he comments on you stomach: [x]

You Can’t (Fluff): Watching a movie with a shirtless scene with Sehun: [x]

She’s Skilled (Fluff): Sehun falling for you during your SMTown performance: [x]


[x] When you’re sassy as Sehun

[x] When someone walks in on you and another member doing the do ;)

[x] When their small girlfriend attempts to be the big spoon

[x] EXO in the Hunger Games

[x] When they find out one of the members bully you

[x] When you fall asleep on the couch waiting for them

[x] When you tell them they give you butterflies

[x] When you come from the closet saying you’re back from Narnia

[x] EXO embarrassing you when they pick you up from school

[x] When they meet you vs. when you’re comfortable around them

[x] When you fall asleep while talking to them

[x] When their child runs out on stage during a performance

[x] When you’re nibbling silently on a chocolate bar

[x] Seeing your new lingerie sat ;)

[x] Seeing you flinch because of bad past experience

[x] Flirting with you and them finding out that you’re a BTS member’s girlfriend

[x] Finding you wrapped up like a burrito watching Stranger Things

[x] You surprise them at their concert after not seeing each other in a long time

[x] You cancelling a date because of horrible cramps.

[x] You not wanting to cuddle after a shitty day

[x] Watching you do your make up

[x] Seeing your sick dance moves

[x] You cooking your home country food for them

[x] You being a teacher

[x] Your curvy body

[x] You teasing them in public

[x] Their little cousin telling saying they’ll marry you

[x] You roasting one of the members

[x] Their little kid protecting you during an argument

[x] You calling them to declare your love


Hello! You might remember me as a person who sometimes draws comics on this site! I’ve been busy as heck with end-of-term work and also some work-related travel(!), so it’s taken me a while to get everything done and then also remember how to draw. The good news is that I’m working on a new Summer Comic Project–

–and the other good news is that I’m drawing it completely print-ready for once, so I’m hoping to make some A5 minicomic booklets out of it (and possibly some older material: the last 6 months or so of comics are–totally unintentionally–exactly the right size, horizontally). The bad news is that there’s no way I’m gonna have it done in time to print/assemble it for Anime North in May so I won’t be able to hand out freebies and probably won’t be attending the con at all due to work/budget restrictions. (Everyone else have fun, though! Especially you fellow artists!) The consolation is that I’m hoping to finish this thing in batches and then post it a few pages at a time based on where it’ll split up naturally.  

P.S. I’m still trying to sort out the JJL timeline in my head. It’s really weird to be making something that you want to be at least plausible while running with the limited information that you have in the moment.  So many things make so little sense as they stand now…

All Scripture is inspired by God and is useful to teach us what is true and to make us realize what is wrong in our lives. It corrects us when we are wrong and teaches us to do what is right. God uses it to prepare and equip his people to do every good work. - 2 Timothy 3:16-17 (NLT)
If you truly desire to hear God’s voice in your life, talk to Him and read His Word everyday.
Paul encourages Timothy with these words in the passage above and it serves as a reminder to us that God’s voice is our guide, and His Word gives us instructions on how to live. We must not forget that if we truly want to experience His Word in our daily lives, we have to actually spend time digging into His Word; reading and truly digging into what He has to say.
So never stop reading His word. Never stop having faith that God IS speaking to you. Be encouraged with these verses below to spend time reading, highlighting, and praying about when it comes to whatever it is you’re faced with!
1. Wondering what you should do about a guy you’re talking to and if it’s serious or not? Read Pr. 4:23, Phil. 4:7-8, 1 Col. 10:31, 2 Co. 6:14
2. Trying to think through quality friendships and what they mean in your life? Read Pr. 18:24, Titus 3:1-2
3. Struggling with temptation or other battles in your relationship? Pr. 25:28, Eph. 4:2-3, 1 Co. 16:13, Ps. 107:9
4. Feeling alone? Weak? Powerless? Read Col. 1:18-20, Is. 40:29
5. Getting anxious about upcoming big decisions or an uncertain future? Read Ps. 37:7, 2 Co. 4:16, Lam. 3:25, Zech. 4:10
Also, be mindful of reading all of these verses in their proper context. You can do this by starting to read the entire chapter, and if you have trouble understanding you can search for Biblical commentaries online, or at your local library or bookstore. It’s worth it to have!
Of course there are many more scriptures to help us through our daily lives, but let us remember that the more we dig into what God is saying to us, the more we will begin to see how useful and important His Truth really is in our lives!
Written by @morganhnichols for #QWCDevos

Season 1 Similarities & Parallels

Parallel #1

Season 1 - Bellamy “killed” a Chancellor and was an “assassin” (called an assassin by Kane, actually)

Season 4 - Octavia killed a Chancellor and is now an assassin. 

Parallel #2

Season 1 - Kabby on the Ark and Bellarke on the Ground.

Season 4 - Kabby in Polis and Bellarke in Arkadia

Parallel #3

Season 1 - Clarke knows a big secret and tries to tell everyone. 

Season 4 - Clarke knows a big secret and is more careful about who she tells, but she still wants to save everyone. 

Parallel #4

Season 1 - Bellarke are equal co-leaders

Season 4 - Bellarke are equal co-leaders again, stronger than ever

*there are a lot more, but I’m going to just collect them one at a time when they pop into my mind when I have time*


Tales of Asteria x The Idolmaster SideM Collab Special Gacha
Duration: 1/31 (Tue) 22:00 ~ 2/13 (Mon) 15:59

(continuation of the previous post)
Alongside the 5☆ “Awakening” enabled Cress (Idol), Richard (Idol), and Yuri (Idol) from the special gacha, there is also a chance to get 5☆ Lloyd (Idol), Mikleo (Idol), Mao (Idol), Wingul (Idol), and 4☆ Emil (Idol)!

Character artes and skill details under the cut.

Keep reading

Miłość cierpliwa jest,
łaskawa jest.
Miłość nie zazdrości,
nie szuka poklasku,
nie unosi się pychą;
nie dopuszcza się bezwstydu,
nie szuka swego,
nie unosi się gniewem,
nie pamięta złego;
nie cieszy się z niesprawiedliwości,
lecz współweseli się z prawdą.
Wszystko znosi,
wszystkiemu wierzy,
we wszystkim pokłada nadzieję,
wszystko przetrzyma.
Miłość nigdy nie ustaje,
[nie jest] jak proroctwa, które się skończą,
albo jak dar języków, który zniknie,
lub jak wiedza, której zabraknie.
Po części bowiem tylko poznajemy,
po części prorokujemy.
Gdy zaś przyjdzie to, co jest doskonałe,
zniknie to, co jest tylko częściowe.
—  (1 Kor 13, 4-10)

Day 6 of 7: Exploring God’s Love for You

And now these three remain: faith, hope and love. But greatest of these is love.
-1 Corinthians 13:13

My dear sister,

1. Don’t let the heartbreak in your life keep you from loving

Perhaps you might feel like you don’t have what it takes to truly love. Maybe that person who broke your heart caused some serious damage and you’re trying to heal. Maybe you’ve never been able to truly love because trusting is just too hard, and this causes you to struggle with what real love even means in your life. If that’s you, I want you to know that it’s okay. It’s okay if you can’t figure love out. It’s okay if you can’t figure out how to love that person that hurt you or the person that ignores you. The reason why it’s okay is because God is gracious enough to give us direct access to HIS love through Jesus Christ. Jesus came to earth because God loved us so much, and yet, Jesus still had plenty of people who rejected that love and wanted to Him dead. They wanted Him crucified. Yet, Jesus continued to love these people…He still DIED for these people…He still died for us! THIS is how we learn to love: by looking to Jesus, knowing that He IS love and He will not fail us, no matter who else does…let HIM be your example.

2. Love is deeper than romance

Romantic love isn’t the only kind of love, but yet, it has the power to consume us if we aren’t careful. Romantic love is not a sin, but understand that falling in love with Jesus, and looking to HIS example of love comes first! This is the only way to truly embrace the selfless and patient love that will PREPARE you for a relationship. Even if you’re already dating or married–chase after the greatest love of all as a couple, letting that be the guide for the way you treat one another. Don’t allow fights, jealousy, or other people come in the way of pursuing Jesus’ example of love together. Let Jesus be the one who keeps your relationship where it needs to be!

Biblical context + further reading: 1 Co. 13, 1 John 4:7-21


SMALL GROUPS coming up!

6/25 - Atlanta, Ga
7/6 - Plano, TX
8/3 - Lithonia, Ga
8/6 - Dallas, TX
Please RSVP at least 48 hours in advance: thecentrecc.org


Awakening Festival Gacha
Duration: 2/24 (Fri) 16:00 ~ 2/28 (Tue) 21:59

This gacha will feature some of the previously released 6☆ enabled characters (the list is in a separate post), as well as a new exclusive 5☆ Flynn, which can be awakened with the new 5☆ Chastel Awakening Partner.

(More on Awakening here)

Character artes and skills details under the cut.

Keep reading


Happy 60th Birthday to Frank Miller!

Comic book auteur Frank Miller was born on January 27, 1957, in Olney, Maryland.  HIs first confirmed comics credit appeared in Weird Ward Tales #64 (June 1978).  He worked as a fill-in and cover artist before he landed the penciling duties on Daredevil, beginning with issue #158 (May 1979).  Starting with Daredevil #168, Miller began writing the title as well.  He was the penciler and co-plotter, along with Chris Claremont of Wolverine v.1 #1-4 (September-December 1982).  In 1986, he wrote and penciled the seminal Batman: The Dark Knight Returns four-issue limited series.

His first creator owned series was Ronin, a six-issue miniseries that DC Comics published in 1983-84.  He began writing and penciling Sin City for Dark Horse comics in 1991.  He also wrote and drew the limited series 300 in 1998.

Frank Miller is currently co-writing with Brian Azarello The Dark Knight III: The Master Race for DC Comics.

These comics are from my personal collection:

Daredevil v.1 #176 (November 1981), cover by Frank Miller

Daredevil v.1 #181 (April 1982), cover by Frank Miller

Daredevil v.1 #183 (June 1982), cover by Frank Miller

Wolverine v.1 #2 (October 1982), cover by Frank Miller

Ronin (1984), cover by Frank Miller

Batman: The Dark Knight Returns: Tenth Anniversary Edition (1996), cover by Frank Miller

300 (1999), cover by Frank Miller

Sin City: Just Another Saturday Night (October 1998), cover by Frank Miller

All-Star Batman and Robin The Boy Wonder #2 (October 2005), cover by Frank Miller


Halloween Special Gacha
Duration: 10/17 (Mon) 16:00 ~ 10/31 (Mon) 21:59

Chance to get 5☆ “Awakening” enabled Alisha (Halloween), Veigue (Halloween), Reala (Halloween) from the special gacha, as well as 5☆ Kohaku (Halloween) and 4☆ Guy (Halloween).

(More on Awakening here)

Character artes and skills details under the cut.

Keep reading

anonymous asked:

can you help me? what songs have shinee members worked on like writing and composing and stuff? solo and group stuff?

group releases 

the shinee world / amigo
1) love like oxygen
rap making: minho
2) 사랑의 길 (love’s way)
rap making: minho
3) “그녀가 헤어졌다 (one for me)
rap making: minho
4) 화장을 하고 (graze)
rap making: minho
5) 내 곁에만 있어 (best place)
rap making: minho 

1) juliette
lyrics: jonghyun
rap making: minho 

2009: year of us
1) get down
rap making: key / minho 

lucifer / hello
1) up & down
lyrics: jonghyun (co-written with misfit)
rap making: minho
2) 욕 (obsession)
lyrics: jonghyun
rap making: minho
3) wowowow
rap making: minho
) your name
lyrics: onew
rap making: minho
) hello
rap making: minho
) get it
rap making: key / minho
) shout out
lyrics: all members

1) 알람시계 (alarm clock)
lyrics: jonghyun
rap making: minho
) 낯선자 (stranger)
rap making: minho
) 늘 그자리에 (honesty)
lyrics: jonghyun
rap making: minho 

misconceptions of you
1) spoiler
lyrics: jonghyun
) dream girl
rap making: minho
) girls girls girls
rap making: key / minho
) 방백 (aside)
rap making: minho
) 아름다워 (beautiful)
rap making: minho
) 다이너마이트 (dynamite)
rap making: minho 

misconceptions of me
1) shine (medusa i)
rap making: minho
) 오르골 (orgel)
lyrics: jonghyun
rap making: minho
) dangerous (medusa ii)
lyrics: jonghyun (co-written with jo yun kyeong)
) excuse me miss
rap making: minho
) 떠나지 못해 (sleepless night)
rap making: minho 

misconceptions of us
1) 버리고 가 (better off)
lyrics: jonghyun
2) 너와 나의 거리 (selene 6.23)
lyrics: jonghyun 

1) 상사병 (symptoms)
lyrics: jonghyun
2) destination
→ rap making: minho
3) 닫아줘 (close the door)
→ rap making: minho
4) colorful
rap making: key / minho 

odd / married to the music
) odd eye
composition: jonghyun
lyrics: jonghyun
) view
lyrics: jonghyun
) romance
rap making: minho
) 이별의 길 (farewell my love)
→ rap making: minho
) alive
rap making: key
) chocolate
lyrics: jonghyun (co-written with yankie)

1of1 / 1and1
1) prism
composition: jonghyun
[note: co-composed with jamil chammas, deez, etc.]
) 투명 우산 (don’t let me go)
rap making: key / minho
) lipstick
→ rap making: minho
) don’t stop
lyrics: jonghyun / key / minho
) u need me
→ rap making: minho
) so amazing
lyrics: onew
) 한마디 (beautiful life)
lyrics: onew


solo releases

ace (taemin)
1) pretty boy
lyrics: jonghyun 

base (jonghyun)
1) déjà-boo (co-composed with zion.t)
2) love belt
3) neon
4) 일인극 (monodrama)
) 시간이 늦었어 (beautiful tonight)
6) 포춘쿠키 (fortune cookie)
all composition: jonghyun
all lyrics: jonghyun

7) crazy (guilty pleasure)
) hallelujah (co-written with wheesung)
lyrics: jonghyun

story. op. 1 (jonghyun)
1) 하루의 끝 (end of a day)
2) u & i
3) like you
4) 산하엽 (skeleton flower)
5) happy birthday
6) 미안해 (i’m sorry)
7) 02:34am
8) 그래도 되지 않아? (fine)
9) 내일쯤 (around tomorrow)
all composition: jonghyun
all lyrics: jonghyun

press it (taemin)
1) press your number (co-written by tenzo and tasco)
2) soldier
lyrics: taemin

) 벌써 (already)
composition: jonghyun (co-composed with teddy riley)
lyrics: jonghyun

she is (jonghyun)
1) she is (co-composed with crush and philtre)
2) 우주가 있어 (orbit)
3) moon (co-composed with ldnnoise)
4) aurora (co-composed with deez)
5) dress up  (co-composed with ldnnoise)
6) cocktail (co-composed with bryan michael cox)
7) red
8) suit up
all composition: jonghyun
all lyrics: jonghyun

2) white t-shirt
lyrics: jonghyun



1) elevator
2) 가을이긴 한가 (it must be autumn)
(co-composed / written with go young bae.)
3) 애월 (愛月) (aewol)
(co-composed / written with jung joon young.)
4) 한마디 (your voice)
(co-composed / written with heritage.)
5) inspiration - jonghyun (co-composed with imlay)
all composition: jonghyun
all lyrics: jonghyun

6) 따뜻한 겨울 (warm winter)
7) 멍하니 있어 (staring into space)
8) my friend
9) love is so nice
10) 1000
all composition: jonghyun
all lyrics: jonghyun


songs for other artists

1) 우울시계 (a gloomy clock) - iu
2) red candle - son dam bi
3) playboy - exo
4) no more - lim kim
5) 한숨 (breathe) - lee hi
all composition: jonghyun
all lyrics: jonghyun

(*) unless otherwise specified jonghyun works on the majority of his compositions with his composition crew / group, wefreaky.