Core 2 Equations Flashcards
1=…
Cos^2Ø + sin^2Ø=1
TanØ=
TanØ=(sinØ/cosØ)
Cos(-Ø)=
Cos(-Ø)=cosØ
sin(-Ø)=
-sinØ
Tan(-Ø)=
-TanØ
Sine rule
a/sinA=b/sinB=c/sinC
sinA/a=sinB/b=sinC/c
Area of a triangle
1/2absinC
Cosine rule (rearranged)
CosC=(a^2+b^2-c^2)/2(ab)
a=
first value in the sequence
In+1=f(Un) is….
A reversible defanition of a sequence
Triangle number….
1/2n(n+1)
Factorial
n!
1x2x3x…..xn
Integrate ax^n
{ax^(n+1)}/{n+1}
Area between curve and x-axis
Untergrate From B to A where x = b and a
Area between curve and y axis
Untergrate From B to A where y = b and a
If Y=a^x
Then……
X=logaY
If Y=10^x
Then…….
x= logY
If y=e^x
Then…….
X=logeY
Log A + log B =
Log (AB)
Log A - log B =
Log (a/b)
M log A =
=log A^M
[m\n]log A
Log X the nth root of A^m
Loga =…..
1
Loga 1=
0
F(a)=0
Then…..
(x-a) is a factor of f(x)
And vice versa
If f(a) =R Then....
R is remainder of when f(x) / (x-a)
a degrees in radians
(Pi x a)/180
Arc length
Rx
Area sector
1/2r^2 x
Area of the triangle in a sector
1/2 r^2 sin x