Maths Facts & Formulae Flashcards
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1
Q
Quadratic Formula
A
(−b ± √b^2 − 4ab)/2a
2
Q
Pythagorean theorem
A
a^2 + b^2 = c^2
3
Q
Area of a triangle
A
1/2 * base * height or 1/2*ab sin(C) (C is the angle between a and b)
4
Q
Cosine rule
A
a^2 = b^2 +c^2 - 2bc cos(A)
OR
cos(A) = (b^2 + c^2 - a ^2) / 2bc
5
Q
Sine rule
A
(sin(A))/a = (sin(B))/b = (sin(C))/c
6
Q
sin(0)
A
0
7
Q
cos(0)
A
1
8
Q
Tan(0)
A
0
9
Q
sin(30)
A
1/2
10
Q
cos(30)
A
(√3)/2
11
Q
Tan(30)
A
1/√3
12
Q
sin(45)
A
1/√2
13
Q
cos(45)
A
1/√2
14
Q
Tan(45)
A
1
15
Q
sin(60)
A
(√3)/2
16
Q
cos(60)
A
1/2
17
Q
Tan(60)
A
√3
18
Q
sin(90)
A
1
19
Q
cos(90)
A
0
20
Q
area of a parallelogram
A
base * perpendicular height
21
Q
area of a trapezium
A
1/2(a + b)h
22
Q
Area of a circle
A
πr^2
23
Q
circumference of a circle
A
2πr
24
Q
Area of a sector
A
θ/360 * πr^2
25
length of an Arc
θπr/180
26
equation linking pressure force and area
pressure = force / area
27
equation linking density mass and volume
density = mass/volume
28
equation linking pressure force and area
pressure = force over area
29
exterior angle of a polygon
360/n
30
interior angle + exterior angle
=180
31
Volume of a Prism
area of cross section * length
32
Volume of a cylinder
πr^2h
33
Volume of a pyramid
1/3 * area of base * h
34
volume of a cone
1/3πr^2h
35
curved surface area of a cone
πrl
36
volume of a sphere
4/3*πr^3
