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SPM AddMath Formula List Given
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SPM Chemistry Form 5 Definition List
Additional Mathematics (3472)
Thefollowingformulaemaybehelpfulinansweringtheq Thefollowingformulaemaybehelp fulinansweringthequestions.Thesymb uestions.Thesymbols ols givenaretheonescommonlyused.
1 x = 2 a
m
3 a
m
−b±
b
2
− 4ac
8 log a b
2a ×a
n
÷a
n
m n
4 ( a )
=
=
=
a
a
m+ n
a
m −n
9 T n
mn
5 log a mn = log a m + log a n 6 log a
m n
7 log a m
1 y
2 y
3
n
= uv ,
=
dy dx
=
log a m − log a n
=
dy
=
dx
u dy , v dx =
n log a m
dy du
×
u
v =
dv dx du dx
+v
−u
du dx
v2
du
log c b log c a
a + ( n − 1)d
10 S n
=
11 T n
=
n 2
[ 2a + ( n − 1)d ] n −1
ar
a( r n
12 S n
=
13 S ∞
≈
− 1)
=
a(1 − r n )
r − 1 a 1 − r
, r
1 − r
, r ≠ 1
<1
4Areaunderacurve b
=
∫ y dx or a
dv dx
=
=
b
=
∫ x dy a
5Volumegenerated
dx
b
=
∫ π y
2
dx or
2
dy
a b
=
∫ π x a
Page|21
http://www.masteracademy.com.my
1 x
=
2 x
=
∑ x
7 I =
N
∑ f x x ∑ f
n
∑( x − x ) 2
3 σ =
∑ x 2
=
N
N
∑ f ( x − x ) 2 ∑ f
4 σ =
∑ W i I i ∑ W i
− x
2
2 ∑ fx 2 − x ∑ f
=
8 Pr
=
n
=
9 C r
n! (n - r)! n! (n - r)!r !
10 P( A ∪ B ) = P( A) + P( B ) − P( A ∩ B ) n
⎛ N − F ⎞ ⎟⎟C f ⎝ m ⎠
5 m = L + ⎜⎜
6 I =
Q1
12Mean, μ = np 13 σ =
× 100
Qo
r n − r
11 P( X = r )= C r p q
1 2
14 Z =
npq
X − μ
σ
1Distance
( x 2
=
− x1 )
2Midpoint x ( x, y ) = ( 1
2
+ ( y 2 −
+ x 2
2
,
y1
y1 )
+
y2
2
2
)
3Apointdividingasegmentofaline ( x, y ) = (
nx1
+ mx 2
m+n
,
ny1
+ my 2
m+n
)
4Areaoftriangle =
1 2
( x1 y 2
5 r
^
6 r = ~
=
+ x 2 y3 + x3 y1 ) − ( y1 x 2 + y 2 x3 + y 3 x1 )
x 2
x i
+ y
~
+ y j ~
x 2
+ y
2
2
Page|22
http://www.masteracademy.com.my
1Arclength, s
=
r θ
2Areaofsector, A = 2
1 2
2
r θ
2
3 sin A + cos A = 1 2
2
4 sec A = 1 + tan A 2
2
5 cos ec A = 1 + cot A 6 sin 2 A = 2 sin A cos A 2
2
7 cos 2 A = cos A − sin A 2
= 2 cos A − 1 2
= 1 − 2 sin A 8 sin( A ± B ) = sin A cos B ± cos A sin B 9 cos( A ± B ) = cos A cos B m sin A sin B 10 tan( A ± B) =
11 tan 2 A =
12
a
=
sin A
13 a
2
=
b
tan A ± tan B 1 m tan A tan B
2 tan A 2
1 − tan A b
sin B 2
+c
2
c
=
sin C
− 2bc cos
14Areaoftriangle =
1 2
A
ab sin C
Page|23
http://www.masteracademy.com.my
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