Formula To Memorise Flashcards
Length equation
root[(x2-x1)^2+ (y2-y1)^2]
midpoint equation
[(x1+x2)/2 , (y1+y2)/n]
gradient
Change in y /change in x
Equation of line
y-y1 =m(X-x1)
quadratic formula
X= [-b+- root(b^2-4ac)]/2a
sine rule
a/sinA = b/sinB
OR
sinA/a =sinB/b
cosine rule
a^2 =b^2 + c^2 -2bc cos A
area of triangle
1/2 ab sinC
sin x =k 1st, 2nd and other solution
1st sin^-1
2nd 180-
other +- 350
cos X =k first second and other solution
1st cos-1
2nd 360 -
Other +- 360
tan x =k first second and other solution
1st tan^-1
2nd and other +- 180
tan x =
sin x/cos x
sin^2 x + cos^2 x =
1
sec x =
1/cos x
cosec x =
1/sin x
cot x =
1/tan x
cos x/sin x
cosec^2 x
1+ cot^2 x
sec^2 x =
1+ tan^2 x
sin 2x =
2sinxcosx
cos2x=
cos^2 x -sin^2 x
2cos^2 x -1
1- 2sin^2 x
tan 2x =
2tanx/(1- tan^2x)
arc length =
r@
sector area
1/2 r^2 @
Arthmetric nth term
Un= a + (n-1)d
Geometric nth term
Un=ar^(n-1)
derivative of a^X
a^X ln a
Product rule
y=uv
dy/dx = vu’ +uv’
integrate a^x
a^x/ lna +c
trap rule
(h/2)(first+last +2(middles)) where h=(b-a)/n
differentiate parametric equations
y’/x’
integrate parametric equations
integration of (y dx/dt) dt
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|
linear interpolation
Q-LV/HV-LV = N-LF/UF - LF
frequency density
Frequency/ class width
P(B|A) =
P(A n B)/P(A)
for independent events A and B :
P(A n B) = P(A) x P(B)
standardisation formula
z= x- u / @
Equation of motion
F=ma
Fmax =
uR
moment =
force x perpendicular distance
Surface area of sphere
4 pi r^2
Volume of sphere
4/3 pi r^3
area of rhombus
length of 2 diagonal sides timesed together
