Chapters 6-8:
Trigonometric Functions

Sine/sin
Cosine/cos
Tangent/tan
Secant/sec
Cosecant/csc
Cotangent/cot

Uses the Unit circle to
show Degrees & Radians

Graphs of the functions look like waves

Can be used to find the angle of two
rays from their initial side to their terminal side.

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

Many of the Trigonometric Equations Used
to find angles will need their inverses found to get
the correct angles need for their solutions

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.

Law of Sines And Cosines can be used
solve for the sides and angles of triangles

Law of Sines used on:
SSA Triangles
ASA Triangles
SAA Triangles

Law of Cosines used on:
SSS Triangles
SAS Triangles

Area of a triangle can be found 3 ways

When the Base and height are present

For a SSS triangle

Requires Heron's Formula to be solved.

For a SAS triangle

Shows us the inverse of the 6
trigonometric functions

arcsin
arccos
arctan
arcsec
arccsc
arccot

Quotient Identities
Reciprocal Identities
Even-Odd Identities
Pythagorean Identities

Used to Prove and Solve
trigonometric equations

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