Core 2 Equations Flashcards
1
Q
1=…
A
Cos^2Ø + sin^2Ø=1
2
Q
TanØ=
A
TanØ=(sinØ/cosØ)
3
Q
Cos(-Ø)=
A
Cos(-Ø)=cosØ
4
Q
sin(-Ø)=
A
-sinØ
5
Q
Tan(-Ø)=
A
-TanØ
6
Q
Sine rule
A
a/sinA=b/sinB=c/sinC
sinA/a=sinB/b=sinC/c
7
Q
Area of a triangle
A
1/2absinC
8
Q
Cosine rule (rearranged)
A
CosC=(a^2+b^2-c^2)/2(ab)
9
Q
a=
A
first value in the sequence
10
Q
In+1=f(Un) is….
A
A reversible defanition of a sequence
11
Q
Triangle number….
A
1/2n(n+1)
12
Q
Factorial
A
n!
1x2x3x…..xn
13
Q
Integrate ax^n
A
{ax^(n+1)}/{n+1}
14
Q
Area between curve and x-axis
A
Untergrate From B to A where x = b and a
15
Q
Area between curve and y axis
A
Untergrate From B to A where y = b and a
16
Q
If Y=a^x
Then……
A
X=logaY
17
Q
If Y=10^x
Then…….
A
x= logY
18
Q
If y=e^x
Then…….
A
X=logeY
19
Q
Log A + log B =
A
Log (AB)
20
Q
Log A - log B =
A
Log (a/b)
21
Q
M log A =
A
=log A^M
22
Q
[m\n]log A
A
Log X the nth root of A^m
23
Q
Loga =…..
A
1
24
Q
Loga 1=
A
0
25
F(a)=0
| Then.....
(x-a) is a factor of f(x)
| And vice versa
26
```
If f(a) =R
Then....
```
R is remainder of when f(x) / (x-a)
27
a degrees in radians
(Pi x a)/180
28
Arc length
Rx
29
Area sector
1/2r^2 x
30
Area of the triangle in a sector
1/2 r^2 sin x
