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A Level Maths > Core Formula > Flashcards

Flashcards in Core Formula Deck (23):
1

What is the formula to work out the area of a sector?

(1/2)(r^2)(θ)

2

What is the formula to work out the area of a segment?

(1/2)(r^2)(θ - sinθ)

3

What is the sine rule?

a/sinA = b/sinB = c/sinC

4

What is the formula for the area of a triangle?

(1/2)absinC

5

What is the two expressions for logarithms?

a^x = n

Loga(n) = x

6

What is the multiplication law for logarithms?

log(xy) = log(x) + log(y)

7

What is the division law for logarithms?

log(x/y) = log(x) - log(y)

8

What is the power law for logarithms?

log(x)^k = klog(x)

9

What is the formula to work out the midpoint of a line?

((x1 + x2)/2 , (y1 + y2)/2)

10

What is the formula to work out the distance of a line?

d = √((x2 - x1)^2) + (y2 - y1)^2))

11

What is the equation of a circle?

(x ± a)^2 + (y ± b)^2 = r^2

12

What is the formula to work out arc length?

13

What is tanθ in terms of sin and cos?

sinθ/cosθ

14

What is the basic trig function?

sin^2(θ) + cos^2(θ) = 1

15

What is the manipulations of the basic trig function?

In terms of sec, cosec, cot and tan

1 + cot^2(θ) = cosec^2(θ)

tan^2(θ) + 1 = sec^2(θ)

16

What is the differential of sinx?

cosx

17

What is the differential of cosx?

-sinx

18

What is the sin(2x) in terms of sin and cos?

2sin(x)cos(x)

19

What is the cos(2x) in terms of sin and cos?

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

20

What is the cos(2x) in terms of sin?

1 - 2sin^2(x)

21

What is the cos(2x) in terms of cos?

2cos^2(x) - 1

22

What is the differential of ln(x)?

1/x

23

In vectors what is a.b equal to?

a.b = IaI IbI cosx