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math ieb formula sheet

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GRADE 12: STANDARDISATION PROJECT: MATHEMATICS: PAPER I – INFORMATION SHEET
Page i of ii
INFORMATION SHEET
x 
–b 
b 2 – 4ac
2a
n
n
n (n  1)
2
1  n
i 
Tn  a  (n  1)d
Sn 
n
 2a  (n  1)d 
2
S 
a
; 1  r  1
1 r
i 1
Tn  ar
i 1
a (r n  1)
Sn 
; r1
r 1
n 1
f  x   lim
h0
f x  h   f x 
h
A  P 1  n i 
A  P 1  n i 
A  P 1  i  n
A  P 1  i  n
 1  i n  1 
F  x

i


1  1  i  n 
P  x

i


d 
y  y2 
 x  x2
M 1
; 1

2
2


( x 2 – x1 ) 2  ( y 2 – y1 ) 2
y  mx  c
m 
y 2 – y1
x 2 – x1
y – y1  m ( x – x1 )
m  tan 
( x – a ) 2  ( y – b) 2  r 2
IEB Copyright © 2014
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GRADE 12: STANDARDISATION PROJECT: MATHEMATICS: PAPER I – INFORMATION SHEET
In  ABC :
Page ii of ii
a
b
c


sin A
sin B
sin C
a 2  b 2  c 2 – 2 b c . cos A
area  ABC 
1
a b . sin C
2
sin (  )  sin  . cos   cos  . sin 
sin ( – )  sin  . cos  – cos  . sin 
cos (  )  cos  . cos  – sin  . sin 
cos ( – )  cos  . cos   sin  . sin 
cos 2   sin 2 

cos 2   1  2 sin 2 

2
2 cos   1
sin 2   2 sin  . cos 
n
 fx
x
n
P ( A) 
 
2
n ( A)
n (S )
ŷ  a  bx
IEB Copyright © 2014
 ( xi  x )
2
i 1
n
P ( A or B)  P ( A)  P ( B) – P ( A and B)
b
 (x  x ) ( y  y)
2
 (x  x )
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