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2 senarai rumus add maths k1 trial spm sbp 2010

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The document provides 14 formulae across various topics: - Algebra formulas for operations, exponents, logarithms - Calculus formulas for derivatives, integrals, areas under curves - Statistics formulas for means, standard deviations, probabilities - Geometry formulas for distances, midpoints, areas of shapes - Trigonometry formulas for trig functions, angles, triangles - The symbols used in the formulas are explained.

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2 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. ALGEBRA − b ± b 2 − 4ac log a b = log c b 1 x= 8 2a log c a 2 a × a = a m+n m n 9 Tn = a + (n – 1)d 3 a m ÷ a n = a m-n 10 n Sn = [ 2a + (n – 1) d ] 4 ( a m ) n = a mn 2 5 loga mn = loga m + loga n 11 Tn = ar n−1 6 m 12 a ( r n − 1) a (1 − r n ) loga = loga m – loga n Sn = = ,r≠1 n r −1 1− r 7 loga mn = n loga m 13 a S∞ = , r <1 1−r CALCULUS / KALKULUS 1 dy dv du 4 Area under a curve y = uv, =u +v Luas di bawah lengkung dx dx dx b du dv = ∫y dx or (atau) 2 v −u a u dy y= , = dx 2 dx v dx v b = ∫ x dy a 5 Volume generated / Isipadu janaan dy dy du 3 = × b dx du dx = ∫ πy 2 dx or ( atau) a b = ∫ πx 2 dy a
3 STATISTICS / STATISTIK 1 x= ∑x 7 I= ∑W I i i N ∑W i 2 ∑ fx 8 n n! x= Pr = ∑f ( n − r )! 3 σ= ∑ ( x − x) 2 = ∑x 2 −x 2 9 n Cr = n! ( n − r )! r! N N 4 σ= ∑ f ( x − x) 2 = ∑ fx 2 −x 2 10 P(A∪B) = P(A) + P(B) – P(A∩B) ∑f ∑f 11 P(X = r) = n C r p r q n − r , p + q = 1 5  1 N −F  12 Mean / Min , µ = np m=L+ 2 C  f   m  13 σ = npq 6 Q1 14 X −µ I= × 100 Z= Q0 σ GEOMETRY / GEOMETRI 1 Distance / Jarak 4 Area of triangle / Luas segitiga ( x2 − x1 ) + ( y2 − y1 ) 2 2 1 = = ( x1 y 2 + x 2 y 3 + x3 y1 ) − ( x 2 y1 + x3 y 2 + x1 y 3 ) 2 2 Midpoint / Titik tengah 5 r = x2 + y 2  x + x 2 y1 + y 2  (x, y) =  1 ,   2 2  ∧ xi + y j 6 r= x2 + y 2 3 A point dividing a segment of a line Titik yang membahagi suatu tembereng garis  nx + mx 2 ny1 + my 2  (x, y) =  1 ,   m+n m+n 
4 TRIGONOMETRY / TRIGONOMETRI 1 Arc length, s = r θ 8 sin (A ± B) = sin A cos B ± cos A sin B Panjang lengkok, s = j θ sin (A ± B) = sin A kos B ± kos A sin B 1 2 Area of sector, A = r 2 θ 9 cos (A ± B) = cos A cos B  sin A sin B 2 1 2 Luas sektor, L = j θ kos (A ± B) = kos A kos B  sin A sin B 2 3 sin 2 A + cos 2 A =1 10 tan (A ± B ) = tan A ± tan B sin 2 A + kos 2 A =1 1  tan A tan B 11 2 tan A 4 sec 2 A = 1 + tan 2 A tan 2 A = 1 − tan 2 A sek 2 A = 1 + tan 2 A 5 cosec 2 A = 1 + cot 2 A 12 a = b = c sin A sin B sin C kosek 2 A = 1 + kot 2 A 6 sin 2A = 2 sin A cos A 13 a 2 = b 2 + c 2 – 2bc cos A sin 2A = 2 sin A kos A a 2 = b 2 + c 2 – 2bc kos A 7 cos 2A = cos2 A – sin2 A 14 Area of triangle / Luas segitiga = 2 cos 2 A – 1 = 1 ab sin C = 1 – 2 sin 2 A 2 kos 2A = kos2 A – sin2 A = 2 kos 2 A – 1 = 1 – 2 sin 2 A

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2 senarai rumus add maths k1 trial spm sbp 2010

  • 1. 2 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. ALGEBRA − b ± b 2 − 4ac log a b = log c b 1 x= 8 2a log c a 2 a × a = a m+n m n 9 Tn = a + (n – 1)d 3 a m ÷ a n = a m-n 10 n Sn = [ 2a + (n – 1) d ] 4 ( a m ) n = a mn 2 5 loga mn = loga m + loga n 11 Tn = ar n−1 6 m 12 a ( r n − 1) a (1 − r n ) loga = loga m – loga n Sn = = ,r≠1 n r −1 1− r 7 loga mn = n loga m 13 a S∞ = , r <1 1−r CALCULUS / KALKULUS 1 dy dv du 4 Area under a curve y = uv, =u +v Luas di bawah lengkung dx dx dx b du dv = ∫y dx or (atau) 2 v −u a u dy y= , = dx 2 dx v dx v b = ∫ x dy a 5 Volume generated / Isipadu janaan dy dy du 3 = × b dx du dx = ∫ πy 2 dx or ( atau) a b = ∫ πx 2 dy a
  • 2. 3 STATISTICS / STATISTIK 1 x= ∑x 7 I= ∑W I i i N ∑W i 2 ∑ fx 8 n n! x= Pr = ∑f ( n − r )! 3 σ= ∑ ( x − x) 2 = ∑x 2 −x 2 9 n Cr = n! ( n − r )! r! N N 4 σ= ∑ f ( x − x) 2 = ∑ fx 2 −x 2 10 P(A∪B) = P(A) + P(B) – P(A∩B) ∑f ∑f 11 P(X = r) = n C r p r q n − r , p + q = 1 5  1 N −F  12 Mean / Min , µ = np m=L+ 2 C  f   m  13 σ = npq 6 Q1 14 X −µ I= × 100 Z= Q0 σ GEOMETRY / GEOMETRI 1 Distance / Jarak 4 Area of triangle / Luas segitiga ( x2 − x1 ) + ( y2 − y1 ) 2 2 1 = = ( x1 y 2 + x 2 y 3 + x3 y1 ) − ( x 2 y1 + x3 y 2 + x1 y 3 ) 2 2 Midpoint / Titik tengah 5 r = x2 + y 2  x + x 2 y1 + y 2  (x, y) =  1 ,   2 2  ∧ xi + y j 6 r= x2 + y 2 3 A point dividing a segment of a line Titik yang membahagi suatu tembereng garis  nx + mx 2 ny1 + my 2  (x, y) =  1 ,   m+n m+n 
  • 3. 4 TRIGONOMETRY / TRIGONOMETRI 1 Arc length, s = r θ 8 sin (A ± B) = sin A cos B ± cos A sin B Panjang lengkok, s = j θ sin (A ± B) = sin A kos B ± kos A sin B 1 2 Area of sector, A = r 2 θ 9 cos (A ± B) = cos A cos B  sin A sin B 2 1 2 Luas sektor, L = j θ kos (A ± B) = kos A kos B  sin A sin B 2 3 sin 2 A + cos 2 A =1 10 tan (A ± B ) = tan A ± tan B sin 2 A + kos 2 A =1 1  tan A tan B 11 2 tan A 4 sec 2 A = 1 + tan 2 A tan 2 A = 1 − tan 2 A sek 2 A = 1 + tan 2 A 5 cosec 2 A = 1 + cot 2 A 12 a = b = c sin A sin B sin C kosek 2 A = 1 + kot 2 A 6 sin 2A = 2 sin A cos A 13 a 2 = b 2 + c 2 – 2bc cos A sin 2A = 2 sin A kos A a 2 = b 2 + c 2 – 2bc kos A 7 cos 2A = cos2 A – sin2 A 14 Area of triangle / Luas segitiga = 2 cos 2 A – 1 = 1 ab sin C = 1 – 2 sin 2 A 2 kos 2A = kos2 A – sin2 A = 2 kos 2 A – 1 = 1 – 2 sin 2 A