Formulas

Question 1

Arithmetic sequence

Answer 1

a+(n-1)d

Question 2

Geometric sequence

Answer 2

ar^n-1

Question 3

Circumference of circle

Answer 3

2πr or πd

Question 4

Area of trapezium

Answer 4

1/2(a+b)h

Question 5

Arc length in degrees

Answer 5

2πr X θ/360

Question 6

Arc length in radians

Answer 6

θr

Question 7

Area of sector in degrees

Answer 7

πr^2 X θ/360

Question 8

Area of sector in radians

Answer 8

1/2r^2 θ

Question 9

sec^2(x)

Answer 9

1 + tan^2(x)

Question 10

Cosec^2(x)

Answer 10

1 + cot^2(x)

Question 11

Sin(2x)

Answer 11

2sin(x)cos(x)

Question 12

Cos(2x)

Answer 12

Cos^2(x)-sin^2(x)
1-2sin^2(x)
2cos^2(x)-1

Question 13

tan(2x)

Answer 13

2tan(x) / 1-tan^2(x)

Question 14

Product rule differentiation

Answer 14

y=uv
u dv/dx + v du/dx

Question 15

Quotient rule differentiation

Answer 15

y=uv
(v du/dx - u dv/dx) / v^2

Question 16

integral of ln(x)

Answer 16

xln(x)-x+c

Question 17

integral of a/x

Answer 17

aln(x)+c

Question 18

Integral of 1/ax + b

Answer 18

1/a ln(ax+b) + c

Question 19

Integral of (f(x))^n

Answer 19

1/n+1 (f(x))^n+1 + c

Question 20

integral of f’(x)/f(x) reverse chain rule

Answer 20

ln(f(x))+c

Question 21

Integral of u dv/dx

Answer 21

uv - integral v du/dx

Question 22

Integral of cos(kx)

Answer 22

1/k sin(kx) + c

Question 23

Integral of sin(kx)

Answer 23

-1/k cos(kx) + c