8/13/2019 c 2 Revision Sheet

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Algebra and Functions

If f ( p) = 0 then f ( x p ) is a factor of

f ( x). Long division with algebra

Sine and Cosine

C

c B

b A

asinsinsin

==

C abbac cos2222 += C abarea sin21=

Exponentials and Logarithms na xn xa ==log 01log =a 1log =aa y x xy logloglog += y x y x logloglog = ( ) xk x k loglog =

a x

xb

ba log

loglog =

Co-ordinate Geometry Mid point of a line = ( ) y x , Length of a line = 22 y x + A circle of centre ( a , b) has formula

222 )()( b ya xr +=

Binomial Expansion

Radian Measure 1801 =radian co 2360 = r arclength =

221sec r tor area =

)sin(221 = r t areasegmen

Geometric Sequences 1= n

n ar u

( )r r a

S n

n

=

11

1r where1

0 then min point; if < 0

then max point; if = 0 then either orinflexion.

Integration Definite integration has limits, solve

then sub limits in and subtract.

Integrating a range gives the areabelow it. Trapezium rule allows estimation of

areas under curves.

( )

Rn

xr r nnn

xnn

nx x r n