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what you already know 4 years images (9), Screenshot 2024-08-07 121504,…
what you already know
4 years
Trignometry
Defination
Functions
Sin(x)
Cos(x)
Tan
opp / Adj
Sin / Cos
Rignt-angled-Triangles
2D / 3D Problems
Bearning
Angle of
Elevation
Depression
Any angle
Unit Circle
Cos (x)
Sin (x)
Tan (x)
Radius
Graphs
domain
Period
Altering the graph e.g. Asin(Bx+C)+D
Equations
Translating
Cosine Rule
Sine Rule
Area of Triangle
Functions
Mapping
domain
relations
one-to-one
many-to-one
one-to-many
many-to-many
Inverse functions
domain
range
one-to-one relation only
finding f^ -1(x)
algebraically
graphically
Composite function
finding f(g(x))=(f o g) (x)
Special Functions
logarithm
definition
laws
log(ab)
log(a/b)
log(a^n)
Change of base
Proofs
Experimental Functions
a^x
e^x
asymptote
In (x)
log
b10
(x)
log
b2
(x)
change of base
solving exponential functions
disguised quadratics
mould problem
Series and Sequences
geometric
common ratio
nth term
sum of the first n term
sum for infinitely many terms if -1<r<+1
sigma notation
Common difference
nth term
Arithmetic
Presentations
pi
value
(use)
circle
area
full circle
sector
circumference
cylinder
surface area
curved surface area
total surface area
volume
pyramid
surface area
lateral surface area
total surface area
slant height
volume
cone
surface area
lateral surface area
total surface area
slant height
volume
e & s & c
equilateral triangle
height
area
square
centre of gravity
median lines
1:2 = 3 parts
sphere
volume
surface area
Golden ratio
calculation
precise value
decimal number
Fibonacci numbers
sequence
examples in nature
(spirals vsTrachtenberg)
1 of about 150 different proofs of the Pythagorean theorem
Something from Chaos Theory
Where to Measure
