Chapters 6-8:
Trigonometric Functions
Chapters 6,7,8:
Trigonometric functions
Chapter 7 Analytic Trigonometry
Sum & Difference Formula
and its derivatives
The derivatives of Sum-Difference are:
Double-Angle and Half-Angle formulas
Product to sum/sum to product formulas
Used to solve and prove angles of Trig
functions and their inverses
The four Trigonometric
Identities
Quotient Identities
Reciprocal Identities
Even-Odd Identities
Pythagorean Identities
Used to Prove and Solve
trigonometric equations
arcsin
arccos
arctan
arcsec
arccsc
arccot
Shows us the inverse of the 6
trigonometric functions
Chapter 8 Applications of Trig functions
Triangles And Right Triangles
Law of Sines And Cosines can be used
solve for the sides and angles of triangles
Area Of a Triangle
Area of a triangle can be found 3 ways
For a SAS triangle
For a SSS triangle
Requires Heron's Formula to be solved.
When the Base and height are present
Law of Cosines used on:
SSS Triangles
SAS Triangles
Law of Sines used on:
SSA Triangles
ASA Triangles
SAA Triangles
How it all Comes together.
The Graphs and Triangles used throughout
these 3 sections are used in everyday life,
such as graphing waves, finding the angles of slopes
and arches, and nautical travel.
Many of the Trigonometric Equations Used
to find angles will need their inverses found to get
the correct angles need for their solutions
Many of the formulas and equations in
Ch7 and 8 can't be done with a understanding
of the unit circle and your 6 trig functions
Chapter 6: Trigonometric Function, Graphs
& and the Unit circle
The 6 Trig Functions
Can be used to find the angle of two
rays from their initial side to their terminal side.
Graphs of the functions look like waves
Uses the Unit circle to
show Degrees & Radians
Sine/sin
Cosine/cos
Tangent/tan
Secant/sec
Cosecant/csc
Cotangent/cot
