4.08 Solving Problems with Trigonometry
Keywords
Applications
Involving Triangles
Definitions/Examples/Notes
Definitions/Examples/Notes :
Simple harmonic
motion
Definitions/Examples/Notes:
Harmonic Motion
A point that moves on a coordinate line is said to
4.06 Graphs of other Trigonometric Functions
Keywords
The Standard Form of
the Tangent Function
Definitions/ examples
Definitions/ examples/notes
About the Graph of the
Tangent Function
Definitions/ examples/notes
Summary of How to
Graph the Tangent by
Ha
4.05a Graphs of Sine and Cosine Functions
Keywords:
Basic Sine
and Cosine
Curves
Definitions/Examples
Sine Curve:
Key points on Maximum and Minimum points:
a Sine or
Cosine Curve
X-axis intercepts
Y-axis intercept
The Standard
Form of the
Equations for
Si
4.07 Inverse Trigonometric Functions
Keywords
Inverse Sine
Function
Definitions/Examples/Notes
Definitions/Examples/Notes:
For this domain, the following properties exist:
1.
2.
3.
1
Definition of
Inverse Sine
Function
The inverse sine function is defined
4.03 Trigonometric Functions: The Unit Circle
Keywords
The Unit Circle
Definitions/Examples
Definition of
Trigonometric
Functions
Let x be a real number and (x,y) the point on the unit circle
corresponding to t.
Sin(t)=
Cos(t)=
Tan (t)=
Csc (t)=
Sec(t)=
T
The Fundamental Theorem of Algebra states that the number of the degree of a polynomial (the
largest exponent) is also the number of solutions/roots that polynomial has, remembering that they
could be imaginary/complex solutions. Descartes rule of signs s
Choice #1: Describe each of the following properties of the graph of the cosine function,
f( ) = cos( ), and relate the property to the unit circle definition of cosine.
Amplitude
Period
Domain
Range
x-intercepts
The amplitude of a cosine function is one
Section
Topic
To Do
Anticipated
Completion
Date
02.01
Quadratic Functions
Lesson (Section 2.1 of
your text),
Practice Problems,
Submitted Assignment
9/7
Polynomial Functions of Higher
Degree
Lesson (Section 2.3 of
your text),
Practice Problems,
Submitted
Section
Topic
To Do
Anticipated Completion
Date
05.01
Using Fundamental
Identities
Lesson (Section 5.1
of your text),
Practice Problems,
Submitted
Assignment
11/21
Lesson (Section 5.1
of your text),
Practice Problems,
Submitted
Assignment
11/21
Lesson (Se
Section
Topic
To Do
Anticipated
Completion
Date
04.01
Angles and Their Measures
Lesson (Section 4.1 of your
text),
Practice Problem,
Submitted Assignment
9/15
Trigonometric Functions of Acute
Angles
Lesson (Section 4.2 of your
text),
Practice Problem,
Sub
01.10 Macbeth: The Power of Words Worksheet
Step 1: Character Interpretation
Earlier in this lesson you read two different interpretations of a scene featuring Lady
Macbeth. You were asked to view a stage performance of the same scene in order to
answer t
02.10 Reflection and Discussion
Subject: Mod 2 tip
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01.08 Reflection and Discussion
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I responde
02.07 Graphs of Rational Functions
f(x)=(2)/(x^2-2x-3)
1. Domain and Range: x=-1,3 y =-1/2, 0
2. x and y Intercept(s): y=-2/3 x=0
3. Horizontal Asymptote(s): y=0
4. Vertical Asymptote(s): x=-1 x=3
f(x)=(x^2 + x - 2)/(x^2-3x-4)
1. Domain and Range: x=-1,4
Section
Topic
To Do
Anticipated Completion Date
Law of Sines
Lesson (Section 5.5 of
your text),
Practice Problem,
Submitted Assignment
9/8
06.02a
Law of Cosines
Lesson (Section 5.6 of
your text),
Practice Problem,
Submitted Assignment
9/8
06.02b
Applying
Law of cosines
c = a + b - 2abcos.
four variables; a, b, c and .
At whatever point you have a triangle with three of these variables known, utilize the Law of Cosines to
compute the obscure variable.
The Law of Sines is
a/sinA = b/sinB = c/sinC
it has six
Section
Topic
To Do
Anticipated Completion Date
Law of Sines
Lesson (Section 5.5 of
your text),
Practice Problem,
Submitted Assignment
9/8
06.02a
Law of Cosines
Lesson (Section 5.6 of
your text),
Practice Problem,
Submitted Assignment
9/8
06.02b
Applying
Section
Topic
To Do
Anticipated Completion Date
Arithmetic Sequences
Lesson (Section 9.4 of
your text),
Practice Problem,
Submitted Assignment
8/26
Geometric Sequences
Lesson (Section 9.4 of
your text),
Practice Problem,
Submitted Assignment
8/26
07.03
Se
Unit Two Lesson Five Part B
The Fundamental Theorem of Algebra explains that whatever the degree, or the highest
exponent, of a polynomial is, it is also the number of possible roots that polynomial can have 1.
For example, in the polynomial function f(x)
Unit Two Lesson Seven
1.
Domain and Range (1 point): Domain is all real numbers except -1 and 3. Range
is all real numbers.
I first factored the equation in the denominator to find the domain. I got (x+1) and (x-3). Then I
set this two factors to zero and
Module 4 Study Plan
In this module, we begin our study of trigonometry. We use a unit
circle to define the trigonometric functions and to learn their
properties. Trigonometry provides us with the tools to solve a
variety of problems, and can be used to mo
Module 1 Study Plan
01.01
Functions and Their Properties
Lesson (Section 1.2 of your text),
Practice Problem,
Submitted Assignment
8-15-16
01.02
Graphs of Functions
Lesson (Section 1.2 of your text),
Practice Problem,
Submitted Assignment
8-15-16
01.03
Bu
Anticipated Completion Date
02.01
Quadratic Functions
Lesson (Section 2.1 of your text),
Practice Problems,
Submitted Assignment
8-31-16
02.02
Polynomial Functions of Higher Degree
Lesson (Section 2.3 of your text),
Practice Problems,
Submitted Assignment
02.05b Writing about Polynomials
The Descartes rule is a type of rule that can be used in order to see all of the possible number
of positive roots of a polynomial, and to see if it is equal to the number of sign changes in the
coefficients of the terms o
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Examples of conic sections in the real world
Parabola
Circle
Ellipse
Discription: A bridge is also great real life depiction of a porabola . They can also be percived beyond its
means of transport ; it can also be observed for its shape .
Equation : The s
Precalculus 7.04 assignment
Leah Jemison 5/10/16
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is
false.
(4 points each.)
1. 4 6 + 5 7 + 6 8 + . + 4n( 4n + 2) = quantity four times quantity four n pl
Descartes Rule is when the number of sign changes determines all the possible positive rational zeros.
f(-x)= -4(-x)3 + 15(-x)2 8(-x) 3 2 or 0 possible rational zeros
f(-x) = 4x3 + 15x2 + 8x - 3 1 possible negative zero
The sign changes two times in the f
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