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?

### rθ

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