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Trigonometry Lesson 2
Part One The Unit Circle
The Unit Circle
What you see here is the unit circle. This is a useful tool in:
a) Comparing angles in degrees & radians.
b) Finding exact values of the six

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Trigonometry Lesson 9
Part I - Graphing Other Trig Functions
Graphing y = tan & y = cot
y = tan
The vertical lines you see are called asymptotes.
They are places where the graph is undefined.
Recall tha

Pre Calculus Math 40S: Explained!
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TRIGONOMETRY LESSON FIVE
PART I - PERIOD
The period of a graph is defined as the length of one complete cycle.
This graph has a
period of 2
This graph has a
period of 4
This graph
has a period
of
Most

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Trigonometry Lesson 3
Part I
Finding quadrants
Look at the angle shown in the diagram to the right.
Is it possible to predict if sin or cos will be positive or negative?
The answer is yes, and you can p

Pre Calculus Math 40S: Explained!
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trigonometry lesson one
Part I
Types of Angles
Memorize the following definitions:
Terminal arm: The line representing where the angle is located in a plane.
The terminal arm always comes out of the orig

Lesson Three
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Trigonometry II - Lesson 3
Part I
Expanding SUM & Difference
Sum & Difference Identities: The following formulas are used to expand trigonometric
functions that have addition & subtraction

Lesson Two
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152
TRIGONOMETRY II - LESSON TWO
PART I
MULTIPLICATION & DIVISION IDENTITLES
Algebraic proofs of trigonometric identities
In this lesson, we will look at various strategies for proving identitie

Lesson 1
Solving Equations
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Trigonometry 2 - Lesson 1
Part One - Graphically Solving Equations
Solving trigonometric equations graphically:
When a question asks you to solve a system of trigonometric eq

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transformations lesson 4
part i: absolute value graphs
Absolute Value Graphs: The absolute value symbol in y = |f(x)|
means all y-coordinates must be made positive.
Example 1: Draw the graph of y = |f(

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Transformations Lesson 3
Part I: Algebraic Transformations
Algebraic Transformations of Functions: If you know the
equation of a particular function, you can insert a transformation to
derive the new f

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Transformations Lesson 2
Part I: Combining Stretches and Reflections
Combining Stretches & Reflections: These can be done in
either order and youll still get the correct graph.
Example 1: Given the fol

Basic Transformations
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Transformations Lesson 1
Part I: Vertical Stretches
Vertical Stretches: A vertical stretch is represented by the form
y = af(x), where a is the vertical stretch factor.
Example 1:

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Geometric Series:Lesson 2
Part I - Sum Formulas
Sum formulas: Given a geometric series, the following formula
can be used to find the sum of any number of terms.
Sn =
t1 (1- rn )
1- r
Sn = The sum of n

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Geometric Series
Part I a & r
Geometric Sequences:
2, 4, 8, 16, 32
t1 = First Term
R = Common Ratio
The common ratio is a number (or variable) that you multiply a term
by in order to get the next term.