Sylph Angel

Sunday, September 13, 2009

Ohhh boyyy. That was some mistake I made :o I wasn't thinking properly. SIGH. Now I'm regretting. My messenger was destroyed once. I am confident, if I abuse it again, it'll get redestroyed. Mhmmphhh. Do something about it!

Proving trigo is FUN. Armed with the rules, identities, I dissect the equations. I admit when I first started doing trigo proving, I was like, "oh $#!+, fail already!" Now, YAYYY!! :D Hehe I've seen tons of the cheap tricks they pull already. I'd like to see more, thanks. It's getting olddddd. Okay guys, here are some things to look out for.

1. If simplified answer has a square, look out for trigonometric identities (like sin2x+cos2x=1).

2. If simplified answer is (a+b)/(a-b), turn to factorization --> (a+b)(a-b)=(a2-b2), or (a2+b2+2ab)=(a+b)2 those are the main tricks.

3. If you end up with a whole number, or non square sinx, cosx, added or subtracted with a fraction, convert the whole thing to a singular fraction.

4. Unless there is a square to cosecx, cotx, secx, convert them to basics (1/sinx, cosx/sinx, 1/cosx), even if simplified answer is cosecx, cotx, secx. You can convert back later.

5. An easy way to remember what cosecx, cotx, and secx converts to, is to look at the third letter.

6. Remember for the square identities --> simple together (sin2x+cos2x=1), tea first (tan2x and cot2x comes first), coco (cot2x+1=cosec2x), non-coco (tan2x+1=sec2x), and always positive.

Hehe everyone, the 2s are all denotes squares, except for the 2ab one. Confused? Sorry, this is mainly for my reference, but if you can understand, good for you! :D

Heyhey everyone.

Haha this is like one of my emo dreamstates.

I was confused, may my vision clear. 17 months shall shorten. Precious time thinking of God is being wasted on... Unimportant things... Mhmm I'll share some dreams today.

My ambition is to help the less fortunate. Free them from suffering, bless them. Give them oppurunities. I was thinking of how to. There are so many ways!

1. Be a doctor, travel to poorer regions of the world, and treat the sick for free, or at extremely reduced rates. You see, there's a problem of doctors from poorer regions of the world moving to richer regions of the world, for the higher pay. If I end up as a doctor, I want to heal to allieviate suffering of others. Money? You don't need THAT MUCH money to stay alive...

2. Invent! This depends heavily upon the outcome of my MI3 project haha (the modified clothes hanger). If it succeeds, gets an award, my morale shall be boosted. If not, improvise! Ahhh this is great, in the sense that I can make lives easier with inventions, and with the earned money, help even more...

Okay, that's pretty much all I've though of so far. :D I feel so noble... LOL. So I'll end up as quite a poor dude in the future, but I'll be happy, definitely. This is why THAT THING (ohh you knowwww whattt!!) is NOT POSSIBLE. LMAO TangE sent me some annoying SMS today. Anyone wanna guess the word that was in it? No prize for correct guess.

Woah I'm aching like crazy today. I think it's because of swimming and gym yesterday. It's a good ache. Shows that I have pushed hard (an aching muscle is a growing muscle - Mr See), and benefitted. I restttt noww :D

Ummmm I dreamt of a double rainbow today! Was suddenly reminded of the dream at church (I use the term for convenience haha) today... It was like, one big rainbow, over another smaller rainbow about half the length (you know how rainbows tend to fade towards the end). I was gonna take a picture! Really pretty stuff. XD

Byebye, just done with maths tuition, going for dinner now.

vεﯠαחƒőχ @ 5:37:00 PM.