Formula To Memorise Flashcards

1
Q

Length equation

A

root[(x2-x1)^2+ (y2-y1)^2]

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2
Q

midpoint equation

A

[(x1+x2)/2 , (y1+y2)/n]

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3
Q

gradient

A

Change in y /change in x

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4
Q

Equation of line

A

y-y1 =m(X-x1)

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5
Q

quadratic formula

A

X= [-b+- root(b^2-4ac)]/2a

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6
Q

sine rule

A

a/sinA = b/sinB
OR
sinA/a =sinB/b

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7
Q

cosine rule

A

a^2 =b^2 + c^2 -2bc cos A

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8
Q

area of triangle

A

1/2 ab sinC

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9
Q

sin x =k 1st, 2nd and other solution

A

1st sin^-1
2nd 180-
other +- 350

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10
Q

cos X =k first second and other solution

A

1st cos-1
2nd 360 -
Other +- 360

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11
Q

tan x =k first second and other solution

A

1st tan^-1
2nd and other +- 180

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12
Q

tan x =

A

sin x/cos x

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13
Q

sin^2 x + cos^2 x =

A

1

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14
Q

sec x =

A

1/cos x

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15
Q

cosec x =

A

1/sin x

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16
Q

cot x =

A

1/tan x
cos x/sin x

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17
Q

cosec^2 x

A

1+ cot^2 x

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18
Q

sec^2 x =

A

1+ tan^2 x

19
Q

sin 2x =

20
Q

cos2x=

A

cos^2 x -sin^2 x
2cos^2 x -1
1- 2sin^2 x

21
Q

tan 2x =

A

2tanx/(1- tan^2x)

22
Q

arc length =

23
Q

sector area

24
Q

Arthmetric nth term

A

Un= a + (n-1)d

25
Geometric nth term
Un=ar^(n-1)
26
derivative of a^X
a^X ln a
27
Product rule
y=uv dy/dx = vu’ +uv’
28
integrate a^x
a^x/ lna +c
29
trap rule
(h/2)(first+last +2(middles)) where h=(b-a)/n
30
differentiate parametric equations
y’/x’
31
integrate parametric equations
integration of (y dx/dt) dt
32
when finding the angle the vectors xi + yj + zk makes with postive x, y or z axis cos@(x or y or z)=
x or y or z / |a|
33
linear interpolation
Q-LV/HV-LV = N-LF/UF - LF
34
frequency density
Frequency/ class width
35
P(B|A) =
P(A n B)/P(A)
36
for independent events A and B :
P(A n B) = P(A) x P(B)
37
standardisation formula
z= x- u / @
38
Equation of motion
F=ma
39
Fmax =
uR
40
moment =
force x perpendicular distance
41
Surface area of sphere
4 pi r^2
42
Volume of sphere
4/3 pi r^3
43
area of rhombus
length of 2 diagonal sides timesed together