Sinusoidal functions
Trig functions like sine and cosine have periodic graphs which we called Sinusoidal Graph, or Sine…
Trig functions
sine
cosine
periodic graphs
Sinusoidal Graph
Sine
Logarithm
Euler's number e
The Euler's number e actually came from the Compound Interest, for calculating the…
Compound Interest
Asymptote
Refer to math is fun: Asymptote of Rational Expressions
Radians
It’s another measurement method for an angle in a circle.
Maths is fun.
special angles
Trig values refer to Trigonometric values such as Sine/Cosine/Tangent values.Special angles refer to 0°, 30°, 45°, 60°
Trig values
Sine/Cosine/Tangent values
Special angles
Easier way: refer to unit circle.
unit circle
Circle
“The circle is arguably the most fundamental shape in our universe.” — Sal Khan
Arc length
Conic Sections
It’s something related to the previous topic Cross sections. It is a section (or a slice) through a Cone.
Cross sections
Definition of circle: The set of all points on a plane that are a fixed distance from a center.
Radical Equation
Means an equation or an expression that has a square root, cube root, etc.The symbol is √.
√
Extraneous solutions
Series
Arithmetic Series
Arithmetic Series is the SUM of Arithmetic Sequence. Like the sum of sequence 1, 3, 5, 7.
Arithmetic Sequence
1, 3, 5, 7
Rational Expressions
Refer to math is fun: Rational Expressions
Or called Rational functions. It's a fraction of two polynomials. And a fraction of two constant numbers will also be fine, because a polynomial could be a constant number.We call the numerator the TOP, and the dominator…
Rational functions
fraction of two polynomials
TOP
Function graphs
Mainly on different graphs of common functions and their transformation images.
Refer to khan academy: Even & odd functions
It’s about the symmetry of a function.And the line of symmetry HAS TO BE either y-axis or the origin.
symmetry
line of symmetry
y-axis
origin
π
π = Circumference / Diameter
That’s why, when you do dπ or 2πr, you will get a π, it's progress of getting it back.
dπ
2πr
𝑒
When you do this formula:
Whatever the n is, no matter how large n goes, the value of the formula will NOT go insanely big, it will only get closer and closer to the number 2.7....
n
2.7...
So we call the number it is approaching as 𝑒. And express the idea as below: