Summary MATHS EDEXCEL IGCSE | Cheat Sheet 1 (Circle Theorems, Proportion, Kinetics and Functions. )

MATHEMATIC per
-

-


I
opposite angles
are supplementary
in a cyclic quadrilateral

Ity
·

= 180
↳ add up to 180
Y
CIRCLe THeORems
-




- made
>
~
angle subtended at circum
.


⑧
In a semi-circle is a -
where a tangent meets a


radius forms a -
1




-
↑




i angle subtended at centre is 1 Two tangents meet at




-
twice angle at circumf Via the
. ⑧ equal length
-
22 same arc




-
-
angle in the same sector

intersecting chord
1(
theorem




Y
are equal
in T -b
vertically opposite angles =

a

c


-
d ab =




8 alternate segment d
C

g Theory b intersecting secant theorem
C
a(a+ b) c(c + d) =

z
j
&




DIRECT + Inverse PROPORTION Functions
direct inverse f(x) =
f : )) -




y
= kx y= 1
x
composite functions like fg(x) =
+(g()
Kinematics
maximum or minimum. set gradient inverse function :
f "(x)
function to o
·
set f(x) y =



swap x and y

s displacement re-arrange for y


v
velocity Functions : Domain +range
domain = all inputs
a acceleration range =
all outputs


Initially : t =
0 the domain of +(1) =
range off"(x)
instantaneous rest : v = 0 the range of f(x) = domain off "(x)


terms distance , speed , magnitude
scalar
+


-

terms displacement, velocity , acceleration vector