REGINAPANGSHIYIN
A.K.A PANGSY and GINA:D
26OCTOBER
LOVES
GOD
No.2 AND 6
KC COUNCIL
KC RHYA
KC
KC TENNIS TEAM
COGS YE
DANCEPOINTE(SK)BALLET GRADE 6
GREEN
WHITE
BLUE
Appointed / OVER! / not holidays / DAY? DAYS? / Renewing my faith / New / brand new? / See / June / messed up /
read throughh Thursday, October 13, 2011 @ 9:03 PM
Hmm.. I just read through all my old blog posts and my old poems. I see how childish I was. I see how much I've grown. I see how much you have hurt me as a friend. I almost forgot about what you have done to me since a year plus ago. I almost forgot that I had a best friend called Evvie. I did not forget that! I just haven't been talking to her. I see how much my language have improved, and have been improving.
Hmm.. I just read through all my old blog posts and my old poems. I see how childish I was. I see how much I've grown. I see how much you have hurt me as a friend. I almost forgot about what you have done to me since a year plus ago. I almost forgot that I had a best friend called Evvie. I did not forget that! I just haven't been talking to her. I see how much my language have improved, and have been improving.
And I realised that every time, before my Amath paper, I would be blogging. Now, I'm doing so. Maybe because Amath is always the last and I cannot wait for it to be over, so I would just spam my blog. Like what I'm doing now. Alright, let me vomit out all I know about Amath HERE(:
1. Simultaneous Equation
Matrices- (adcd)
|A|=ad-bc
determinant: 1/|A|
2. Surds, Indices and Logarithms
a^m x a^n=a^m+n
a^m / a^n =a^m-n
(a^m)^n =a^mn
a^m x b^m=ab^m
a^m / b^m =(a/b)^m
a^-n=1/a^n
a^(1/n)=n*a
a^(m/n)=n*(a^m)
a^x=b (index form)
loga b=x (logarithmic form)
log10 x=lg x
loge x=ln x
loga xy=loga x+loga y
loga(x/y)=loga x-loga y
loga x^n=nloga x
loga 1=0
loga a=1
loga x= logbx/logba
loga x =1/(logx a)
3. Quadratic Equations and Inequalities
A+B=-b/a
AB=c/a
(-b+_*b^2-4ac)/2a
b^2 -4ac>0 - roots are real and distinct/2 unequal real roots
b^2-4ac=0 - roots are real and equal/coincident/repeated roots
b^2 -4ac<0 -roots are complex/imaginary/ no real roots
b^2-4ac(>=)0 -roots are real
4. Partial Fractions
(A/ax+b)+ (B/cx+d)
(A/ax+b) + (B/cx+d) + (C/cx+d)
(A/ax+b) + (Bx+C(/x^2+c^2))
5. Modulus Function
|a|> 0
|-a| =|a|
6. Binomial Theorem
(x+y)^n=x^n +nx^n-1 y + (n(n-1)/2)x^n-2 y^2 + (n(n+1)(n+2)/2X3)x^n-3 y^3
Term r+1= nCr x^(n-r) y^r
6. Coordinate Geometry
Distance:Square root of( x1-x2)^2 + (y1-y2)^2
midpoint: [(x1+x2)/2],[(y1-y2)/2]
gradient: (y2-y1)/(x2-x1)=tan tethaaa
gradient of perpendicular lines: m1=-1/m2 or m1*m2=-1
area: shoelace method
7. Linear Law
just convert into linear form and remember Y, X , m and c
m=gradient
c=y intercept
8. Circles
(x-a)^2 +(y-2)^2 =r^2
C(a,b) or (-g,-f)
x^2 + y^2 +2gx +2fy+ c =0
r= square root of g^2+f^2-c
9. TRIGONOMETRY
sin=opp/hyp
cos=adj/hyp
tan=opp/adj
a/sinA=b/sinB=c/sinC
a^2=b^2 +c^2 -2bc cosA
area of triangle= 1/2 absinC
Pie rad=180 deg
+ where SA
TC
1st quad: all positive
2nd quad: sin positive, cos neg, tan neg
3rd quad: tan pos, cos neg, sin neg
4th quad: cos pos, tan neg, sin neg
Special angles: sin 30=1/2 cos 30=root3/2 tan30=1/root3
sin 45=1/root2 cos 45=1/root2 tan 45=1
sin 60= root3/2 cos 60=1/2 tan60=root3
sin(-thetha)=-sin tethaaa
cos(-tetha)=cos tethaa
tan(-tetha)= -tan tethaa
sin(90-tetha)= cos tetha
cos(90-tetha)=sin tetha
tan(90-tetha)= cos tetha
sin(180-tetha)=sin tetha
cos(180-tetha)=-cos tetha
tan(180-tetha)= -tan tetha
HEH. out of all that, only the green words I don't have to memorise.Thanks yea? I'm really tired now. Bathe, QT, and then off to sleep, really tireddd. I feel really accomplished after typing all these. Hehe!