C2

Question 1

State the Sine Rule

Answer 1

a/SinA=b/SinB=c/SinC
or
SinA/a=SinB/b=SinC/c

Question 2

State the Cosine Rule

Answer 2

a²=b²+c²-2bccosA
b²=a²+c²-2accosB
c²=a²+b²-2abcosC

Question 3

State the cosine rule for angles

Answer 3

CosA=(b²+c²-a²)/2bc

Question 4

How to work out the area of a triangle

Answer 4

1/2absinC

Question 5

State the log to exponential rule

Answer 5

logaN=x

n^x=n

Question 6

State the log laws

Answer 6

logaxy=logax+logay
logax/y=logax-logay
logx^k=klogx

Question 7

What is the area of a sector

Answer 7

A=1/2r²x

Question 8

What is the area of a segment

Answer 8

A=1/2r²(x-sinx)

Question 9

What is the length of an arc

Answer 9

L=rx

Question 10

What is 1 radian equal to

Answer 10

180/pi

Question 11

How do you write the equation of a circle with centre (a,b) radius r

Answer 11

(x-a)²+(y-b)²=r²

Question 12

How to change the base of logs

Answer 12

logax=logbx/logba

Question 13

What is the midpoint of (x1,y1) and (x2,y2)

Answer 13

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

Question 14

What is the distance between (x1,y1) and (x2,y2)

Answer 14

√((x1,y1)+(x2,y2))

Question 15

What is the nth term of a Geometric question

Answer 15

ar^n–1

Question 16

What is the sum of a finite geometric sequence

Answer 16

(a(1-r^n))/1-n

Question 17

What is the sum of an infinite geometric sequence

Answer 17

a/1-r

Question 18

How to find nCr

Answer 18

n!/r!(n-r)!

Question 19

What is the trapezium rule

Answer 19

h[y0 + yn + 2(y1 + … + yn–1)]