# Maths General Rules, Formulas & Equations

• Created by: JayceM
• Created on: 28-06-17 19:43
Area of a Rectangle
width x height
1 of 30
Area of a Triangle
base x height / 2
2 of 30
Area of a Parallelogram
vertical height x width
3 of 30
Area of a Trapezium
(a+b) x h / 2
4 of 30
Front and Back area
base x height x 2
5 of 30
Left and Right area
length x height x 2
6 of 30
Top and Bottom area
length x base x 2
7 of 30
Volume of a Prism
front area x length
8 of 30
General equation for a straight line
y = mx + c
9 of 30
Gradient m
m = y length / x length
10 of 30
Gradient m (alternative method)
m = y1 - y2 / x1 - x2
11 of 30
4 types of Transformation
Translation Reflection Rotation Enlargement
12 of 30
Pythagoras theorem - To find H
h = √(a² + b²)
13 of 30
Pythagoras theorem - To find A
a = √(h² - b²)
14 of 30
Trigonometry - Hypotenuse / h
Opposite the right angle
15 of 30
Trigonometry - Adjacent / A
Next to both angles
16 of 30
Trigonometry - Opposite / O
Opposite Theta
17 of 30
Trigonometry - Theta / ⊖
Denotes an angle
18 of 30
Trig functions - Sine
Sin -> opp hyp
19 of 30
Trig functions - Cosine
Cos -> adj hyp
20 of 30
Trig functions - Tangeant
Tan -> opp adj
21 of 30
What does SOH stand for?
Sin⊖ = O / H
22 of 30
What does CAH stand for?
Cos⊖ = A / H
23 of 30
What does TOA stand for?
Tan⊖ = O / H
24 of 30
Trig Re arranging - If x is on Top of the fraction
Cos 54 = x / 15 --> 15 x cos 54 = x
25 of 30
Trig Re arranging - If x is on the Bottom of the fraction
Sin 42 = 12 / x --> x = 12 / Sin 42
26 of 30
Trigonometry Note
Always use the 2 sides with labels on. The x and the one with another number on.
27 of 30
Trigonometry Opposite reciprocants
Sin -> Sin⎺1
28 of 30
Trigonometry Opposite reciprocants
Cos -> Cos⎺1
29 of 30
Trigonometry Opposite reciprocants
Tan -> Tan⎺1
30 of 30

## Other cards in this set

### Card 2

#### Front

base x height / 2

#### Back

Area of a Triangle

### Card 3

#### Front

vertical height x width

#### Back ### Card 4

(a+b) x h / 2

#### Back ### Card 5

#### Front

base x height x 2

#### Back ## Comments

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