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
-
-
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
