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7/27/2019 STPM Math T Formulae 954(1)
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954/1
*Kertas soalan ini SULIT sehingga peperiksaan kertas ini tamat.
[Lihat sebelah
SULIT*
SULIT* 1
MATHEMATICAL FORMULAE
Trigonometrical identities
sin(A B)=sin A cos B cos A sin B
cos (A B)=cos A cos B sin A sin B
tan (A B)=
sin 2A = 2 sinA cosA
cos 2A = cos2A sin2A = 2 cos2A 1 = 1 2sin
2A
tan 2A =
Sums of series
For an arithmetic series
For a geometric series
Binomial expansions
(a + b)n
= an
+ an1b + a
n2b2
+ + anrb
r + + bn, n
Conics
Parabola with vertex (h, k), focus (a + h, k) and directrixx=a + h(yk)
2= 4a(xh)
Ellipse with centre (h, k) and foci (c + h, k), (c + h, k), where c2 = a2 b2
Hyperbola with centre (h, k) and foci (c + h, k), (c + h, k), where c2
= a2
+ b2
(x -h)2
a2(y -k)2
b2+ = 1
(x -h)2
a2(y -k)2
b2 = 1
( )
n
1 ( )
n
2 ( )
n
r
(1 +x)n = 1 + nx + x2 + + xr + , n , |x| < 1n(n -1)2!
n(n -1)(n-r+ 1)
r!
+Z
2 tan A
1 - tan2 A
tan A tan B1 tan A tan B
Sn = , a 1a(1 -rn)1 -r
Sn = n(a + l) = n[2a + (n - 1)d]12
12
7/27/2019 STPM Math T Formulae 954(1)
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2
954/1
CONFIDENTIAL*
BLANK PAGERUMUS MATEMATIK
Identiti trigonometri
sin(A B)=sin A kos B kos A sin B
kos (A B)=kos A kos B sin A sin B
tan (A B)=
sin 2A = 2 sinA kosA
kos 2A = kos2A sin2A = 2 kos2A 1 = 1 2sin
2A
tan 2A =
Siri hasil tambah
Bagi siri arithmetik
Bagi siri geometrik
Kembangan binomial
(a + b)n
= an
+ an1b + a
n2b2
+ + anrb
r + + bn, n
Keratan kon
Parabola dengan bucu (h, k), fokus (a + h, k), dan direktriksx=a + h(yk)
2= 4a(xh)
Elips dengan pusat (h, k) dan fokus (c + h, k), (c + h, k), dengan c2 = a2 b2
Hiperbola dengan pusat (h, k) dan fokus (c + h, k), (c + h, k), dengan c2
= a2
+ b2
(x -h)2
a2(y -k)2
b2+ = 1
(x -h)2
a2(y -k)2
b2 = 1
( )
n
1 ( )
n
2 ( )
n
r
(1 +x)n = 1 + nx + x2 + + xr + , n , |x| < 1n(n -1)2!
n(n -1)(n-r + 1)
r!
+Z
2 tan A
1 - tan2 A
tan A tan B1 tan A tan B
Sn = , a 1a(1 -rn)1 -r
Sn = n(a + l) = n[2a + (n - 1)d]12
12