Page 46 - Ranger SPM 2022 - Additional Mathematics

y
x

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Form 4

Geometric progressions,
CHAPTER 2 T = ar n – 1
n
Quadratic Functions
n
S = a(r – 1) for | r | . 1 or
r – 1
n
2
n
x = –b ± √b – 4ac S = a(1 – r ) for | r | , 1
2a n 1 – r
a
CHAPTER 4 Indices, Surds and S = 1 – r for | r | , 1
∞
Logarithms
a × a = a m + n CHAPTER
n
m
a ÷ a = a m – n 7 Coordinate Geometry
m
n
(a ) = a
mn
m n
√a × √b = √ab Divisor of a line segment,
a 1 nx + mx 2 ny + my 2 2
1
1
√a ÷ √b = (x, y) = ,
b m + n m + n
log mn = log m + log n
a a a Area of a triangle
1
log m = log m – log n = u(x y + x y + x y ) – (x y + x y
n
a
a
a
2
2 1
3 2
3 1
1 2
2 3
log m = n log m + x y )u
n
a a 1 3
log b
log b = log a Area of a quadrilateral
c
a
c
1
= u(x y + x y + x y + x y )
1 2
3 4
2 3
4 1
2
CHAPTER 5 Progressions – (x y + x y + x y + x y )u
4 3
2 1
1 4
3 2
Area of a polygon
Arithmetic progressions, 1 x x … x x
2
T = a + (n – 1)d = 2 y 1 y … y n y 1
n 1 2 n 1
n
S = [2a + (n – 1)d]
n 2
n
S = [a + l ]
2
n
vi
0b Rumus Ranger Mate Tambahan SPM.indd 6 25/02/2022 9:06 AM