C2

Question 1

Equation for h in trapezium rule

Answer 1

h=(b-a)/n

n= number of strips

Question 2

Equation for total area in trapezium rule

Answer 2

0.5h(y0 +yn + 2(y1+ y2+..+yn-1)

Question 3

Features of a sin graph

Answer 3

Crosses x: -360, -180, 0, 180, 360

Crosses y: 0

Question 4

Features of cos graph

Answer 4

Crosses x: -270, -90, 90, 270

Crosses y: 1

Question 5

Features of tan graph

Answer 5

Crosses x: -360, -180, 0, 180, 360
Crosses y: 0
The bottomof one curve is at the same x value as the top of the next curve

Question 6

Sin rule

Answer 6

a/sinA = b/sinB = c/sinC

Question 7

cosine rule

Answer 7

a^2 = b^2 + c^2 - 2bc Cos A
CosA = (b^2 + c^2 -a^2)/2bc

Question 8

Area of a triangle

Answer 8

0.5abSinC

Question 9

Trig identities

Answer 9

tanx=sinx/cosx

cos^2x + sin^2x = 1

Question 10

Arithmetic series nth term

Answer 10

Un= a + (n-1)d

Question 11

Arithmetic series sum

Answer 11

Sn= 0.5n(a+l)

Sn=0.5n(2a+(n-1)d)

Question 12

Arithmetic series layout

Answer 12

a + (a+d) + (a+2d) etc

Question 13

360 degrees in radians

Answer 13

2pi

Question 14

Conversion from degrees to radians

Answer 14

x degrees = x * 2pi/360

Question 15

Length of arc

Answer 15

l=rx

Question 16

Area of sector

Answer 16

A= 0.5r^2x

Question 17

Where does an exponential graph pass

Answer 17

(0,1)

Question 18

Geometric series nth term

Answer 18

Un= ar^n-1

Question 19

Geometric series sum

Answer 19

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

Question 20

Geometric series sum to infintity

Answer 20

S infinity = a/1-r

Question 21

Geometric series layout

Answer 21

a + ar + ar^2 etc