Flashcards in pure core Deck (50):

1

## A^m/n

### (n√a)^m

2

## discriminant

### b^2 - 4ac

3

## b^2 - 4ac < 0

### no real roots

4

## b^2 - 4ac = 0

### 1 real root

5

## b^2 - 4ac > 0

### 2 real roots

6

## dotted line

### <>

7

## solid line

### <= >=

8

## []

### included in the range

9

## ()

### not included in the range

10

## midpoint

### ( (x1+x2)/2 , (y1+y2)/2)

11

## length of line

### √(x1-x2)^2 + (y1-y2)^2

12

## the angle in a semi circle is always

### a right angle

13

## the perpendicular line from the centre of a circle to a chord

### perpendicularly bisects the chord

14

## the tangent to a circle at a point

### is perpendicular to the radius through that point

15

## sin0

### 0

16

## cos0

### 1

17

## tan0

### 0

18

## sin30

### 1/2

19

## cos30

### √3/2

20

## tan30

### √3/3

21

## sin60

### √3/2

22

## co60

### 1/2

23

## tan60

### √3

24

## sin45

### √2/2

25

## cos45

### √2/2

26

## tan45

### 1

27

## sin90

### 1

28

## cos90

### 0

29

## tan90

### undefined

30

## tanx =

### sinx/cosx

31

## sin^2 x =

### 1 - cos^2 x

32

## y = f(x) + 3

### translation 3 in the y direction

33

## y = f(x+3)

### translation -3 in the x direction

34

## y = 3f(x)

### stretch of scale factor 3 in the y direction

35

## y = f(3x)

### stretch of scale factor 1/3 in the x direction

36

## y = -f(x)

### reflection in the x axis

37

## y = f(-x)

### reflection in the y axis

38

## nCr

### n! / r!(n-r)!

39

## normal to curve

### perpendicular to tangent at particular point

40

## vector polar form

### (r, θ)

41

## vector/component form

###
(X, Y)

Xi + Yj

42

## position vector

### starts at the origin

43

## unit vector

###
magnitude of 1

divide a direction by its magnitude to get its unit vector

44

## vectors with common multiples

### are parallel

45

## vectors are perpendicular if

### their dot/scalar product equals zero

46

##
Inverse of

"A to the power of X equals B"

### log to the base a of b equals x

47

## log(xy) =

### log(x) + log(y)

48

## log(x/y)

### log(x)-log(y)

49

## log1 =

### 0

50